Question

A pair of equations is shown below:

y = 7x − 8
y = 5x − 2

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.

Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer

Answer 1

Explanation:

part a:

substitution

7x - 8 = 5x - 2

2x - 8 = -2

2x = 6

x = 3

y = 7(3) - 8 = 21 - 8 = 13

y = 13

Part b.

(3, 13)

Answer 2

Part A) If would probably be smart to use substitution because y is already solved for, so we can substitute the value of y as a function of x into the other equation.

y=7x-8

y=5x-2

7x-8=5x-2

+8 +8

-----------------

7x=5x+6

-5x -5x

----------------

2x=6

/2 /2

-----------

x=3

y=7x-8

y=21-8

y=13

Part B) The lines will intersect at point (3, 13)

Explanation:

hope this helps

so sorry if this is wrong

did this for hw