Ask Question
10 July, 11:41

What ordered pair is a solution to y = x + 5 and x - 5y = - 9?

I also need to show the work.

+2
Answers (1)
  1. 10 July, 15:03
    0
    ( - 4, 1)

    Step-by-step explanation:

    Given the 2 equations

    y = x + 5 → (1)

    x - 5y = - 9 → (2)

    Substitute y = x + 5 into (2)

    x - 5 (x + 5) = - 9 ← distribute and simplify left side

    x - 5x - 25 = - 9

    - 4x - 25 = - 9 (add 25 to both sides)

    - 4x = 16 (divide both sides by - 4)

    x = - 4

    Substitute x = - 4 into either of the 2 equations and evaluate for y

    Substituting into (1)

    y = - 4 + 5 = 1

    Solution is ( - 4, 1)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “What ordered pair is a solution to y = x + 5 and x - 5y = - 9? I also need to show the work. ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers