3x+2y=12 2x-3y=21 elimination please solve with answer and steps

Answers

Answer 1

Answer:

(6,-3)

or

x=6 y= -3

Step-by-step explanation:

Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable

What we can do is mulitply an equation to make the above true

let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)

So our new first equation is

1.5(3x+2y)=12*1.5

which simplifies to

4.5x+3y=18

We then add the two equatiosn

(4.5x+3y)+(2x-3y)=18+21

6.5x=39

x=6

Now that we know x we can plug that in and solve for y

3(6)+2y=12

18+2y=12

-6=2y

y= -3


Related Questions

a heater is turned on in a cold room the scatterplot shows the relationship between the length of time since the heater was on in the temperature of the room the y-intercept of the estimated line of best fit is at (0, b). enter the approximate slope of the estimated line of best fit in the second response box ​

Answers

Answer:

A estimation of the slope is (1/2) °C/min

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Then we just need to look at the graph and find two points that belong to the graphed line (not the points) and estimate the slope

We can see that the line passes near the points (14 min, 14°C) and (18 min, 16°C)

Then the slope is:

a = (16°C - 14°C)/(18 min  - 14 min) = (2°C)/(4 min) = (1/2) °C/min

Answer:

what were the answers? IStep-by-step explanation:

hii! i’ll give brainliest pls help

Answers

Answer:

flood is the answer fycgguvvytugcut because snow turns into water

It hi John it’s E,,,,,,,,mmm

classify this relation as direct, inverse, or neither. if possible, find the constant.​

Answers

Answer:

inverse, 50

Step-by-step explanation:

By looking at this, we can realize that it cannot be direct, because the y value does not increase when the x value does. Furthermore, we can realize that when the x and y values are multiplied, they all equal 50. This is a property of inverse variation. This means the relation is inverse. Lastly, the constant is 50 because that is the common product.

Option 4 inverse 50
Have a good day good luck

Simply by adding like terms: -7x^2*y*z + 3y*z^2 - z*x^2*y - 4y

Answers

9514 1404 393

Answer:

  -8x^2·y·z +3y·z^2 -4y

Step-by-step explanation:

It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...

  x^2 y z

  y z^2

  x^2 y z

  y

Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.

  = -8x^2·y·z +3y·z^2 -4y


Which quadratic equation has roots of 5 and 7

Answers

Answer:

D

Step-by-step explanation:

Given the root of a quadratic equation x = a then the factor is (x - a)

Here the roots are x = 5 and x = 7 , then the corresponding factors are

(x - 5) , (x - 7)

The equation is then the product of the factors, that is

y = (x - 5)(x - 7) ← expand using FOIL

   = x² - 7x - 5x + 35 ← collect like terms

y = x² - 12x + 35 → D

The quadratic equation has roots of 5 and 7 so, the quadratic equation would be equal to [tex]y = x^{2} - 12x + 35[/tex].

How to find the roots of a quadratic equation?

Suppose that the given quadratic equation is

ax^2 + bx + c = 0

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

It is Given the root of a quadratic equation x = a then the factor is (x - a)

Here the roots are x = 5 and x = 7 , then the other factors are

(x - 5) , (x - 7)

The equation is then the product of the factors,

[tex]y = (x - 5)(x - 7)\\y = x^{2} - 7x - 5x + 35 \\y = x^{2} - 12x + 35[/tex]

Learn more about finding the solutions of a quadratic equation here:

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A skateboard was originally priced at $53.00. It is on sale for 15% off. What is the sale price of the skateboard?

Answers

Answer:

STEP BYy-step explanation:

I need help with this to! When i get the answer ill let ya know

We have given that skateboard was originally priced at $53.00.

It is on sale for 15% off.

We have to determine the sale price of the skateboard.

The discount is 15%.

So we have to find 15% of $53.

What is the method to converting the percentage into desimal ?

Divide the percentage by 100 so we will get the the desimal form of percentage.

convert 15% into desimal

[tex]\frac{15}{100}=0.15[/tex]

Multiply 0.15 by original price,

[tex]0.15\times 53=7.95[/tex]

The original price discounted by this amount

Therfore he save $7.95

Sale price=53$-7.95=45.05

Therefore we get the salling price is $45.05.

To learn more about the selling price visit:

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WHO HERE'S GOOD AT MATH AND CAN HELP ME???

Answers

Answer:

100,000-110,000 pounds

Step-by-step explanation:

one ton equal to 2000 pounds

50x2000=100000

55x2000=110000

100,000-110,000 pounds

If this helps please mark as brainliest

Answer:

100,000-110,000

Step-by-step explanation:

2000x50= 100,000

2000x55= 110,000

Gerard paid $10 for one dozen pomegranates costing 75¢ each.
How much should he get back in change?

Answers

$9.25 cents I’m pretty sure this is the correct answer

Please help. What is the answer?

Answers

Answer:

ASA

Step-by-step explanation:

The longest side is the same (denoted by the small line).

Assuming the red dot and the x mean the angles are the same, the triangles share two common angles.

As such, the triangles share one common side and two common angles. Hence ASA

26) In triangle ABC, if AB-BC and B
= 70°, ZA will be: *
O a. 70°
O b. 110°
O c. 55°
O d. 130°​

Answers

Answer:

55degrees

Step-by-step explanation:

Let the other angles of the triangle are x, x degrees. Since the sum of angles in a  triangle is 180degrees, hence;

<A + <B+ <C = 180

x + 70 + x = 180

2x+70 = 180

2x = 180 - 70

2x = 110

x = 110/2

x = 55

SInce <A is equal to x, hence <A is 55degrees

How do I find the indicated value for this problem?

Answers

Answer:  just want points tbh

Step-by-step explanation:

For some reason it didnt let me upload as text so here you go.

PLEASE I GIVE BRAINLIRST PLEASE HELP I NEED TO OASS THIS





Evan wants to add a flower box at the edge of the garden. He decides to paint the box. The flower box is open on
The box is 16 inches long. 6 inches wide, and 8 inches the top and does not need to be paintes. What is the
high
minimum amount of paint he will need?
Evan will need enough paint to cover
What is the maximum amount of soil he will need to fill
Bin
the box
The maximum amount of soillis

Answers

Answer:

Evan needs enough paint to cover 448in^2

He needs enough soil to fill 768in^3

Step-by-step explanation:

Find the value of x and round to the nearest tenth. *bots will be reported*

Answers

x is c in the pythagorean theorem which means a^2+b^2=c^2 and c = x so 22^2+27^2=x^2. x will equal 38.8

Tom is building a pool. He plans to dig a hole 20 feet wide and 50 feet long. He wants the pool to hold 7500 cubic feet of water. How deep must he dig the hole?

Answers

Answer: 7.5 feet

Step-by-step explanation:

.

PLEASE HELP NEED THE ANSWER

-20
-15
-25
-18

Answers

x=-15, because the equation of the graph is y=1/3x+1, and you substitute y for -4.

The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?

Answers

Answer:

P = 48

4 + 4(two given lengths) = 8

48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)

40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm


[tex]500 \times 96515 + 275[/tex]

Answers

Answer:

= 48257775

Step-by-step explanation:

500x96515+275

multiply first

48257500+275

lastly, add

=48257775

i hope this helps :)

Using pemdas you would solve the multiplication first then add the 275, so the answer would be 48,257,775

What is the width of the rectangle?
30y

60y4

Answers

Answer:

2 y^3

Step-by-step explanation:

Area of rectangule is length * width

Solve the factorial.

The factorial \(4!\) is equal to

Answers

Answer:

4! = 24

Step-by-step explanation:

[tex]4! = 4 * 3 * 2 * 1 \\\\4! = 12 * 2 * 1\\\\4!= 24 * 1\\\\\boxed{4!=24}[/tex]

Hope this helps.

Answer:

24

Step-by-step explanation:

I just did the same lesson and got it right

What is the angle and the answer pls this is a quiz grade

Answers

Answer:

b is equal to 132

because of the transversal rule, b and 132 are corresponding angles, which means that they are equal to the same measure

hope this helps :)))

ur lucky at least ur math teacher gives you fun assignments to do to solve a murder mystery

my teacher has us doing 4 page review guides for finals

I think B is equal to 132
I hope it’s help

Which name best describes the polygon with vertices (0,0), (4,8), (12,8) and (16,0)?


A. Trapezoid
B. Square
C. Triangle
D. Pentagon


Answers

The name of the polygon with the vertices at (0,0), (4,8), (12,8) and (16,0) is a Trapezoid. Option A

How does a Trapezoid look like?

A trapezoid is a four-sided flat polygon.

It has two parallel sides that has different lengths. The other two sides are non-parallel and  also does have lengths.

A trapezoid has four angles, two of which are acute and two of which are obtuse.

A trapezoid's parallel sides are calld bases, while its non-parallel sides are called legs.

The height of a trapezoid is the perpendicular distance between its two bases. Trapezoids appear in a variety of sizes and forms, but its distinguishing feature is the presence of two parallel sides.

|             o                          o

|
|
|
|
|
|

|o___________________________o_

If you connect the "o" which represents the coordinates, you will draw a Trapezod.

Find more exercises that include a Trapezoid:

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1. Find the value of x. The diagram is not to scale.​

Answers

Answer:

64

Step-by-step explanation:

As the angle in the bottom is shared and the 2 sides are proportional, one is 40 and 80 (times 2) and the other, 25 and 50 (times 2) so the triangles are similar so all we do is multiply 32 by 2 as its the rule. So the answer is 64.

In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term

Answers

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

4−32⋅(−0.25)−12÷13, what's the answer?

Answers

the answer is 144 over 13
144/33 is da anwser kkkk

Find the height of the pyramid.
Volume = 198 yd
9 yd
11 yd
The height is yards.

Answers

Answer:

12 yards

Step-by-step explanation:

h = (3×198)/(½×11×9)

= 594/(49.5)

= 12 yds

James sells two types of cupcakes. A basic chocolate cupcake is $2,75. His speciality chocolate covered strawberry cupcake is $3.75. He knows that he sold 185 cupcakes over the
weekend and made $586.75, but he lost the paper that told him how many of each type of cupcake he sold. How many chocolate cupcakes and chocolate covered strawberry cupcakes
did he sell over the weekend?

Answers

Answer:

107 chocolate cupcakes sold

78 chocolate covered strawberry cupcakes sold

Step-by-step explanation:

to solve one of these questions, you need to write two equations and then substitute back and forth to get the answer.

to start, we need to write an equation.

2.75c+3.75s=586.75

and c+s=185

reworking the second equation to isolate s, we'll then substitute it into the first one.

so s=185-c

2.75c+3.75(185-c)=586.75

2.75c+693.75-3.75c=586.75

combine like terms (the ones with a c variable attachment)

2.75c-3.75c=-1c

693.75-1c=586.75

-693.75

-107=-1c

/-1

107=c

put that back into the second equation

107+s=185

78=s

61, 21, 80, 46, 37, 70, 59, 65, 46, 39, 17, 87, 3, 10 Calculating the Mean, Median, Mode and Range of Data

Answers

Answer:

Mean: 45.8 (rounded to the tenth place)

Median: 46

Mode: 46

Range: 84

Step-by-step explanation:

In this table, Davis recorded how far he could throw balls of different weights.
He modeled the data with a linear best-fit function. He can throw a certain ball 30 feet. Approximately how many pounds would this ball weigh?

a. 7.5 pounds
b. 8.1 pounds
c. 8.6 pounds
d. 9.1 pounds

Answers

Answer:

Option C

Step-by-step explanation:

By using linear best fit calculator for the given data,

Equation of the line of best fit will be,

y = -5.2514x + 74.94413

Here, x = Weight of the ball

y = Distance thrown by Davis

Now substitute y = 30 feet to calculate the weight (x) of the ball.

30 = -5.2514x + 74.94413

5.2514x = 74.94413 - 30

5.2514x = 44.94413

x = 8.5585

x ≈ 8.6 pounds

Therefore, David can throw a ball 30 feet weighing 8.6 pounds.

Option C will be the answer.

How to get an area for this shape

Answers

Answer:

A = 135 cm²

Step-by-step explanation:

The figure is composed of 2 triangles.

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

The total area is the sum of the area of both triangles

A = [tex]\frac{1}{2}[/tex] × 18 × 7 + [tex]\frac{1}{2}[/tex] × 18 × 8

   = 9 × 7 + 9 × 8

   = 63 + 72

   = 135 cm²

Please I need help!!!!

Answers

Answer:

(9-7)

Step-by-step explanation:

1st

Vertex

we have

f(x)=x²-18x+88

let

y=x²-18x+88

comparing above equation with ax²+bx+c

we get

a=1

b=-18

c=88

now

vertex(x,y)=(-b/2a,f(-b/2a))

x=(18/2×1)=9

y=f(9)=9²-18×9+88=7

SO

VERTEX(X,Y)=(9,7)

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