How do you do the elimination method on these equations: 3x = y+5 and 2x+y=5

Answers

Answer 1

Answer:

[tex](2,1)[/tex]

Step-by-step explanation:

Let's first write down the first in traditional form:

[tex]\left \{3x-y=5} \atop {2x+y=5}} \right.[/tex]

At this point, let's choose the order we want to do it.

Eliminating x: Let's multiply the first by 2, the second by 3, and subtract one from the other. Rest is simple algebra

[tex]2I-3II: 6x-2y -6x-3y = 10-15\\-5y=-5 \rightarrow y=1[/tex]

Eliminating y: Let's simply add the two equations together. Rest is simple algebra

[tex]I+II:3x-y+2x+y = 10\\5x=10 \rightarrow x = 2[/tex]


Related Questions

4x+5y=20 need help solving x and y intercept plotting

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x To find the y-intercept, substitute in  0 for  x and solve for  y.

Slope: [tex]m=-\frac{4}{5}[/tex]

x-intercept(s):  ( 5 , 0 )

y-intercept(s):  ( 0 , 4 )

Andrea buys 3 pounds of Georgia pecans for
$10.35. What is the unit rate for the pecans?

Answers

Answer:

3.45 per pound of peacans

Step-by-step explanation:

we know that 3 pounds of peacans is 10.35 dollars so all that we have to do to find the unit rate is divide 10.35 by 3 and we get 3.45$

Put these in least to greatest
1/3,-3,3,0

Answers

Answer:

-3 , 0 , 1/3 , 3

Step-by-step explanation:

1/3= 0.3333

-3,0,1/3,3 hope this helps

ms.lee is shopping for a new electric water heater. brand a cost $576 and uses 439 kilo-watt per month. brand b cost $651 and uses 374 kilowatt-hours per month. if electricity cost $0.16 per kilowatt hour how much will ms lee save on electricity per month by buying brand b

Answers

………………………………..…….……………………………………………..…….……………………………………………..…….……………………………………………..…….……………

Evaluate 36 = (x + 9) when x
=
3.
o
A. 3
B. 12
C. 4.
D. 21
SUB

Answers

Answer:

3

Step-by-step explanation:

36 ÷ (x + 9)

=> 36 ÷ (3 + 9)

=> 36 ÷ 12

=> 3

Therefore, 3 is the answer.

Help!?! I have no clue how to solve it :/

Answers

3! (Three factorial) is the same as 3 • 2 • 1. So 3! = 6

Zoya sells insurance. She earns $10,25/hour and 8% commission on all her sales. Last week
she worked 35 hours and sold $2058 worth of insurance. How much did she eam all together?

Answers

Answer:

$523.39

Explanation:

10.25 x 35 hours= 358.75

2058 x 8/100 = 164.64

358.75 + 164.64 = 523.39

Simplify the expression: 5+2a - (9+a)

Answers

Answer:

a - 4

Step-by-step explanation:

[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]

Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.

Answers

Answer:

it's simple it means

2×b-8=5

Answer:

b = 10.5

Step-by-step explanation:

The difference of b and 8 is b - 8 and twice this difference is

2(b - 8) = 5 ← distribute parenthesis on left side

2b - 16 = 5 ( add 16 to both sides )

2b = 21 ( divide both sides by 2 )

b = 10.5

The unknown number b is 10.5

What is the y intersect. Pls help

Answers

Answer:

total shipping cost

Step-by-step explanation:

can you plz help me....

Answers

Answer:

what is that ............

Sixteen Students Have Registered For A Summer Sports Camp. They Are To Be Divided Into Either A Swimming Or A Tennis activity, with no more than 10 students IN EITHER GROUP. in how many ways could the group in the tennis activity be chosen?

Answers

Divide 10 by 2 than separate both groups into 5 sections in each activity

There are 5 ways you could choose the group in tennis.

What is division?

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

The total no of students is 16,

As there can be only a maximum of 10 students in a group,

If the student in Swimming is 10 then in Tennis it will be 6,

If the student in Swimming is 9 then in Tennis it will be 7,

If the student in Swimming is 8 then in Tennis it will be 8,

If the student in Swimming is 7 then in Tennis it  will be 9,

If the student in Swimming is 6 then in Tennis it will be 10,

Therefore, there are 5 ways you could choose the group in tennis.

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Which answer correctly describes the transformation from the preimage to the
image?
a translation 10 units left and 8 units down
a reflection over the x-axis

a translation 10 units right and 8 units up

a rotation of 180°

a reflection over the y-axis

Answers

Answer: Choice A

Translation of 10 units left and 8 units down

================================================

Explanation:

Always start with the preimage. Let's say we focus on point A located at (3,6). Its corresponding point is A' located at (-7,-2). To go from (3,6) to (-7,-2), we move 10 units to the left and 8 units down.

The motion "10 units to the left" means we subtract 10 from the x coordinate. The "8 units down" part means we subtract 8 from the y coordinate.

Overall, the translation rule is [tex](x,y) \to (x-10,y-8)[/tex]

If we applied that rule to A(3,6), then...

[tex](x,y) \to (x-10,y-8)\\\\(3,6) \to (3-10,6-8)\\\\(3,6) \to (-7,-2)\\\\[/tex]

which is what the diagram shows going from A to A'

Let's do the same for point B(3,1)

[tex](x,y) \to (x-10,y-8)\\\\(3,1) \to (3-10,1-8)\\\\(3,1) \to (-7,-7)\\\\[/tex]

This indicates B(3,1) moves to B ' (-7,-7) which is what the diagram shows. I'll let you confirm that C(6,6) moves to C ' (-4,-2) using that translation rule.

(REPOST) STATION 3 ! 40 POINTS

Answers

Finding out how fast they are going:

Liberty Express: 128.3…mph
Mercury: 130mph
International: 123mph
Delta Eagle: 125mph
Great Valley: 130.5mph

Order:

International
Delta Eagle
Liberty Express
Mercury
Great Valley

Answer:

Great valley

Mercury

Liberty

Delta

International

Step-by-step explanation:

Liberty Express: 128.333

Mercury speed: 130

International speed: 122.666666

Delta Eagle speed: 125

Great Vally speed: 130.5

distance/time=speed

Order:

Great valley

Mercury

Liberty

Delta

International

а
Find the length of side x in simplest radical form with a rational denominator.
\30
X
60°
3

Answers

Answer:3√3

Step-by-step explanation:

tanx=opp/adj

tan60=x/3

make x the subject: 3 × tan60= x

x= 3√3 or 5.196 in decimals

i will mark brainliest!!!!!!

Answers

Answer:

k=10x+6

Step-by-step explanation:

64 is equal to 2^6, so we just have 2^6*4^5k

4^5x is equal to 2^10x and we have 2^6*2^10x=2^k

Apply exponent multiplication rule : a^m*a^n=a^m+n

We get 2^10x+6, so 10x+6 is our answer

The answer is k= 10x+6

what is the answer ?????​

Answers

Answer:

20%=20/100

       =2/10

       =1/5

35%=35/100

      =0.35

1- Answer : 1/4
all the other answers do not make sense
20 times 6 is 120 and 20 is not 20 percent of that
20 times 4 equals 100
making that 20%
2-0.35
When making a number or percentage into a decimal just put it in the right numeral placing and add a dot when necessary


Hope I helped



Find the lowest common multiple of 36
and 72

Answers

36x2 =72 so that’s your answer

Equivalent decimals for 10.045

Answers

Answer:

10.05 , 10,0

Step-by-step explanation:

really sorry if theses aren't the answers your looking 4 !

Assume that lines which appear to be tangent are tangent.
Find the value of the?

Answers

Answer:

12

Step-by-step explanation:

Assume that lines which appear to be tangent are tangent.

Therefor this is a right triangle.

Use the pythagorean theorem

c^2 = a^2 + b^2

15^2 = ?^2 + 9^2

225 = ?^2 + 81

subtract 81 from both sides

144 = ?^2

Take the square root of both sides

12 = ?

9514 1404 393

Answer:

  ? = 12

Step-by-step explanation:

The tangent makes a right angle with the radius at the point of tangency. That means the Pythagorean theorem can be used to find the missing length.

  ?² +9² = 12²

  ?² = 225 -81 = 144

  ? = √144 = 12

The value of ? is 12.

__

Additional comment

When you see a right triangle with the ratio of hypotenuse to leg of 15:9 = 5:3, you know immediately that it is a multiple of a 3:4:5 right triangle. Here, the scale factor is 3, so the missing side is 3×4 = 12.


(03.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) – 11?
A: The graph of y=f(x) will shift up 11 units.
B: The graph of y=f(x) will shift right 11 units.
C: The graph of y=f(x) will shift left 11 units.
D: The graph of y=f(x) will shift down 11 units.

Answers

Answer:

its letter C

Step-by-step explanation:

yan Ang answer for me

the product of 32.7 and 0.9 is? ​

Answers

Answer:

pruduct means multiply so 32.7x0.9=29.43

A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB

Answers

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, A(5,7) and B(9,-1).

Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (5,7) and going to (9,-1):

Rise = (-1 -7) = -8

Run = (9-5) = 4

Rise/Run (slope) = -8/4 or -2

The equation becomes y = -2x + b

We can find b by entering either of the two given points and solving for b. I'll pick (5,7):

y = -2x + b

7 = (-2)*(5) + b

7 = -10 + b

b = 17

The equation is y = -2x + 17

Check this with a DESMOS graph (attached).

The equation of line AB is y= -2x +17

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Points A(5, 7) and B(9, -1)

So, slope for the equation is

sloe= (-1 - 7)/ (9- 5)

slope = -8/ 4

slope= -2

Now, using slope- intercept form

y - b = m ( x- a)

y - 7= -2( x - 5)

y- 7 = -2x + 10

y= -2x + 17

Hence, the equation of line AB is y= -2x +17

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A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor

Answers

Answer:

125 square tiles

Step-by-step explanation:

(800*10)/8^2=8000/64=125

A line is defined by the equation 2x + y = 4. Which shows the graph of this line?
Edge

Answers

It would would like this. Hope this helped :)
This should be what you’re looking for

URGENT HELP!! Will is making cookies for the house parade party. He uses 6 cups of flour for every 4 cups of Sugar. Will says he uses 1.5 cups of flour for every 1 cup of sugar. His friend Finn said that Will used 2/3 cups Sugar for every cup of flour. Who is correct? Explain.

Answers

Will is wrong and can not be held accountable for ever cup of flour

Write a function g whose graph is a vertical stretch by a factor of 3 of the graph of f(x)=|x|-5. g(x)=

Answers

Answer:

See below

Step-by-step explanation:

A vertical stretch by a factor of 3 of the graph of f(x) will result in:

g(x) = 3 f(x)

This gives us:

g(x) = 3( |x| - 5) = 3|x| - 15

The function g(x) after a vertical stretch by a factor of 3 can be defined as follows:

g(x) = 3(|x| - 5)

To create a function g(x) that is a vertical stretch by a factor of 3 of the graph of f(x) = |x| - 5, you can simply multiply the entire function f(x) by 3.

This will stretch the graph vertically while maintaining the same shape.

Therefore, the function g(x) can be defined as follows:

g(x) = 3(|x| - 5)

This function takes the absolute value of x, subtracts 5, and then multiplies the result by 3, resulting in a vertical stretch of the graph of f(x).

The vertical stretch by a factor of 3 means that the y-coordinates of all points on the graph are multiplied by 3, making the graph taller compared to the original f(x) graph.

Hence the function g(x) after the vertical stretch is g(x) = 3(|x|-5).

Learn more about vertical stretch click;

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help me please with math prob

Answers

Answer:

box number 2 is 2. box number 3 is 7. box number 1 is product or sum

Help PLSS Thanks ………………….

Answers

Answer:

3rd option

Step-by-step explanation:

Given z is inversely proportional to (y - 2)² then the equation relating them is

z = [tex]\frac{k}{(y-2)^2}[/tex] ← k is the constant of proportion

To find k use the condition when y = 5, z = 9 , then

9 = [tex]\frac{k}{(5-2)^2}[/tex] = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

81 = k

z = [tex]\frac{81}{(y-2)^2}[/tex] ← equation of proportion

Try 3rd one that’s the best one on there

PLEASE HELP i will give brainliest no links​

Answers

Answer:

y=5x

Step-by-step explanation:

y=ax

use any value of x and y from the table

I chose (2,10)

10=2a

10/2=a

a=5

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