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- 7x - 5y = 36
x = 2y + 3

1 Answer

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Answer:

Solution


x = - 3,\: y = -3

Explanation:

If the objective is to solve for the system of equations
- 7x - 5y = 36 [1]

x = 2y + 3 [2]

Then the process is as follows

  • Substitute x = 2y + 3 from eq [2] in eq [1] : -7 x- 5y = 36
    ==> - 7(2y + 3) - 5y = 36
  • Expand the brackets
    -7 ( 2y + 3) = -7 (2y) - 7(3) = - 14y - 21
  • Simplify
    ==> -14y - 21 - 5y = 36
    ==> -19y - 21 = 36
  • Add 21 both sides:
    -19y -21 + 21 = 36 + 21
    -19y = 57
  • Divide both sides by - 19
    - 91y/-19 = 57/-19
    y = - 3
  • Substitute y = -3 in x = 2y + 3:
    x = 2(-3) + 3 = -6 + 3 = -3
    x = -3

User Kassem Shehady
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