Question

Question 2 (Essay Worth 10 points)

(08.02 MC)

A pair of equations is shown below:

y = 7x − 9
y = 3x − 1

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Answer 1

Explanation:

part A: when you graph both y=7x-9 and y=3x-1 the two lines will intersect this is how you solve the graphing part of the system of equations.

Both of these lines are in slope form (y=mx+b) where m is the slope which is 7 and 3 and b is the y-intercept which is -1 and -9.

part B

7x-9=3x-1

subtract 3x from both sides

4x-9=-1

add 9 to both sides

4x=8

divide both sides by 4

x=2,

making y=3x-1 become:

y=3(2)-1=6-1=5,

the answer is (2,5)