Ask Question
23 January, 16:45

I'm so confused about solving by substitution.

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.

+3
Answers (1)
  1. 23 January, 16:51
    0
    x = 3

    y = 2

    Step-by-step explanation:

    Given

    y = - 2x + 8

    y = x - 1

    Substitute x - 1 for y in the first equation

    We have

    y = - 2x + 8

    x - 1 = - 2x + 8

    Add 1 to both sides to eliminate 1 on the left side

    x - 1 + 1 = - 2x + 8 + 1

    x = - 2x + 9

    Add 2x to both sides to eliminate 2x on the right side

    x + 2x = - 2x + 2x + 9

    3x = 9

    Divide both sides by 3 to isolate x

    3x/3 = 9/3

    x = 3

    Now substitute 3 for x in either equations to get y

    Using the second equation, we have

    y = x - 1

    y = 3 - 1

    y = 2

    x = 3 and

    y = 2
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “I'm so confused about solving by substitution. Consider the following pair of equations: y = - 2x + 8 y = x - 1 Explain how you will solve ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers