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

Answers

  1. Answer:
    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)
    Step-by-step explanation:
    hope this helps
    so sorry if this is wrong
    did this for hw

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  2. Answer:
    Step-by-step 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)

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