Consider the following pair of equations:

y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

Answer 1

Answer:

(3,2)

Step-by-step explanation:

y = -2x + 8

y = x-1

Substitute x-1 for y in the equation y = -2x + 8.  x-1 = -2x + 8

Use the Additive Property to move the

constant terms to one side of the equation.      x-1 = -2x + 8

                                                                                +1           +1

                                                                                  x = -2x + 9

Now do the same to the variable terms.              +2x +2x

                                                                                 3x = 9

Divide both sides of the equation by the

constant in the variable term.                               ÷3 = ÷3

                                                                                   x = 3

To find y, simply substitute the value of x into

one of the original equations.                                 y = x-1

                                                                                   y = 3-1

Solve:                                                                         y = 2

The solution is (3, 2).


Related Questions

all parallellograms are squares true or false​

Answers

Answer:

false

Step-by-step explanation:

all parallelograms are not square

their opposite sides only equal

Surface area measures the area of the faces. Area is a blank dimensional measurement, so it is measured in square units.

Answers

Answer:

2d or 2 dimensional is the answer i think

Step-by-step explanation:

since area is measured for 2d shapes and surface area is just finding the area of each side separately and adding it together

Someone help me on this question..

Answers

Answer:

CD= 9

Step-by-step explanation:

AD and CD are the same length. The length of AD is 9. So the length of CD will also be 9. I hope that helps.

MIDTERMS ARE HARD :((((((( PLZ HELP

Answers

the answer is going to be (6,0) and (0,10)

Answer:

c. x-intercept is (6, 0) and the y-intercept is (0, 10).

Step-by-step explanation:

i hope this helps :)

Solve for the Apothem. If the answer has a radical write your answer in the following form, 2v2 = 2sqrt2

Answers

Answer:

2sqrt3

Step-by-step explanation:

because it's a 60 30 right triangle. and you have to leave your answer in radical form.

What is the solution to the system of equations graphed below?

Answers

Answer:

one solution (-4, -1)

Step-by-step explanation:

I hope this helps :)

(-4,-1) that’s the correct answer

What is the slope of the line that passes
through the points (3, 2) and (-1,-4)? Write
your answer as a fraction in simplest form

Answers

Answer:

Step-by-step explanation:

Slope = (Difference of y-coordinates)/(difference of x-coordinates)

= (-4 - 2)/(-1 - 3)

= (-6)/(-4)

= 3/2

Find the length of AB

Answers

Answer:

B 25.2

Step-by-step explanation:

AB = AC - BC

= 51.8 - 26.6 = 25.2

A map has a scale of 3 cm and 20 cm which statement is true or false two cities are actually 66 cm part are9.9 cm part

Answers

Answer:
Answer options
A. Two cities that are 7.5 cm apart on the map are actually 50 km apart.
D. Two cities that are actually 66 km apart are 9.9 cm apart on the map.
Step-by-step explanation:
Step 1
Indicate the scale as shown;
3 cm : 20 km, meaning 3 cm on the map represents 20 km on the ground
A). what does 7.5 cm represent on the ground
Distance on ground=(7.5×20)/3=50 km
B). what does 4 cm represent on the ground
Distance on ground=(4×20)/3=26.67 km
C). what does 45 km on ground represent on the map
Distance on map=(45×3)/20=6.75 cm
D). what does 66 km on ground represent on the map
Distance on the map=(66×3)/20=9.9 cm

Simplify and show work
(81m^6)^1/2
Click image if helpful

Answers

I think it’s a 81/2m^6
alternative form - 40.5m^6

You rewrite the expression without the parenthesis

81/2m^6 * 1/2

Then you calculate the product 81 and 1/2

81 * 1/2 = 81/2m^6

Then that’s your answer :)

81/2m^6

-8x-10=4x+14 show your work

Answers

-8x-10=4x+14
-12x=24
X=-2

what is 4270 rounded to the nearest thousands

Answers

Answer:

4,000

_______

*rate this answer and say thanks please!

Solve for x, 2-x= -6-4x
a . -2/3
b.-2/5
c-8/3
d.-8/5​

Answers

Answer:

-8/3

Step-by-step explanation:

2 - x = - 6 - 4x      <-- Add 4x to the left side

2 + 3x = - 6          <-- Subtract 2 from the left side

3x = -8             <-- Divide 3 on both sides

x = -8/3

Answer:

x = -8/3

Step-by-step explanation:

Consolidate x terms on the right side:

2-x= -6-4x becomes 2-x + x = -6-4x + x, which in turn becomes:

2 = -6 - 3x, or 3x = -8.  Then, dividing both sides by 3, we get x = -8/3

What is the equation of the trend line in the scatter plot?
Someone pls help I will pay if you get it right

Answers

Given:

The graph of a trend line.

To find:

The equation of the trend line.

Solution:

From the given graph it is clear that the trend line passes through the points (0,4) and (9,7). So, the equation of the trend line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-4=\dfrac{7-4}{9-0}(x-0)[/tex]

[tex]y-4=\dfrac{3}{9}(x)[/tex]

[tex]y=\dfrac{1}{3}x+4[/tex]

Therefore, the equation of the trend line is [tex]y=\dfrac{1}{3}x+4[/tex].

7. Find the slope of the line.
slope = rise/run

= ?/?, or ?

the slope is ___

Answers

Answer:

5

Step-by-step explanation:

You can find the slope with rise over run. Rise means up and run means moving right or left. In this case rise is 10 and run is 2. This means the fraction will look like 10/2. Simplify this to get 5 and that is your answer.

Hope this helps.

Answer:

slope 10/2=5

Step-by-step explanation:

10 rise

2 run

PLSSS HELP 40 POINTSS ILL SEND 30 MORE IF U HELPP PLSSS

The cost of the hiking trip this year is 2/3of the cost of last year's trip. This year's trip cost $32

1. Write an equation that represents the cost of last years trip.
2.What was the cost of last year's trip

Answers

Answer:

The equation is ( 32/2 ) × 3 = 48.

Step-by-step explanation:

In order to find the answer, we must find one third of last years trip. To do this, we can simply divide the cost of this year's trip by two, 32/2=16.

Now if we multiply this years trip by 3, 16×3=48, we can see that the total cost of last years trip was $48.

If we'd like to turn this into a equation, it looks like this:

( 32/2 ) × 3 = 48.

What is an equation of the line that passes through the points (0,-5) and (-6,0)?
Put your answer in fully reduced form.

Answers

Answer:

y=-5/6x-5

Step-by-step explanation:

0-(-5)/-6-0

-5/6 slope

y-(-5)=-5/6(x-0)

y+5=-5/6x

y=-5/6x-5

Need help what is the answer, please.
I am so confused

NO SPAM ANSWERS!!!!
(YOU HAVE BEEN WARNED)
NO LINKS AS WELL!!!
(WILL BE REPORTED IF NOT APPLICABLE)

Answers

Answer:

V = 405.04

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

V = 3.14(6.1²)(10.4/3)

V = 3.14(37.21)(10.4/3)

V = 405.04

Solve the system of equations by substitution.
y=3x-10, 2x+3y=14

Its 5-3 MathXL btw​

Answers

2x+3(3x-10)=14

2x+9x-30=14

11x=44

x=4


y=3(4)-10

y=2

Let x=−118 x = - 11 8 and y=−114 y = - 11 4 .

Answers

Whats the question???

Answer:

Let  x=−118  and  y=−114 . On a number line

Which expression has a negative value?

Multiple choice question.

A) x+y

B) x−y

C) x·y

D) xy

Step-by-step explanation:

Solve for x:
3 - 2x = -7
A. 2
B. -5
C. 5
D. -2

Answers

answer is a. 2
3 - 2x= -7
- 2x = -4
x = 2

Zoe bought 5 chicken wings for $7.50. What's the unit cost of one wing? On the double number line below, fill in the given values, then use multiplication or division to find the missing value.

Answers

Answer:

Step-by-step explanation:1.10+1.10+1.10+1.00+1.00+1.00+1.00

Answer:

Step-by-step explanation: 1.50

One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon.

Answer the questions below.

1. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent.



2. Is the cost of gas greater in Buffalo or in Toronto?



3. How much greater?

Answers

Answer:

The cost of one gallon of gas in Toronto, Canada is $3.458.

Solution:

Given, One gallon of gasoline in buffalo, New York costs $2.29.  

In Toronto, Canada, one liter of gas costs $0.91.  

There are 3.8 liters in one gallon.  

We have to find how much does one gallon of gas cost in Toronto?

Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.

Cost of one gallon of gas = 0.91 x 3.8 = 3.458

Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.

dome7w and 28 more users found this answer helpful

Step-by-step explanation:

Trisha bought a carton of orange juice. She drank 1/3 of the carton on Monday and 5/12 of the carton on Tuesday. What fraction of the carton did Trisha drink?

Answers

Answer:

i don't remember sorry o know thos was no help sorry

find the equation that represents the proportional relationship in this graph

Answers

Answer:

y = 4/5x

Step-by-step explanation:

Points on the graph: (5, 4) and (0, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-4)/(0-5)

m=(-4)/(-5)

m= 4/5

Slope-intercept:

y - y1 = m(x - x1)

y - 4 = 4/5(x - 5)

y - 4 = 4/5x - 4

y = 4/5x

Conditions of a triangle = AAA
50 degrees, 60 degrees, 70 degrees

What can you make:

O more than 1 triangle
O a unique triangle
O not a triangle

Answers

Answer:

One triangle

Step-by-step explanation:

That's the answer....

5.
Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second.

Answers

Answer:

a or c Im not sure

Step-by-step explanation:

I think b though

The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given,

Loren is running at speed of 10 feet per second.

Speed = distance covered/time taken

10 = distance covered/time taken

In line B, the ratio of distance covered/time taken is 10.

Thus, line B will be correct.

Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".

To learn more about graphs,

brainly.com/question/16608196

#SPJ5

Which of the following inequalities is true?
A) -4 <-5
B) -3<-2
C) 0 <-4
D) 1 < -2

Answers

Answer:

B) -3 < -2

Step-by-step explanation:

The smaller the negative number, the more "positive" it is. Also, -2 is more than -3 because it is closer to 0.

what is t- 40= 3 please help

Answers

Answer:

t = 43

Step-by-step explanation:

t - 40 = 3

t = 43

Add 40 to both sides.

Sandy bought 1 1/4 pound of turkey and 1/2 pounds of cheese at the deli. Both items are on sale for $4 per pound. What is the total cost?

Answers

Sandy's $8.50 been on the deli counter.

$8.50.....................
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