Asked by k.
Solve the system of equations by the elimination method.
left brace Start 2 By 1 Matrix 1st Row 1st Column 5 x plus 5 y equals negative 20 2nd Row 1st Column 6 x minus 5 y equals 31 EndMatrix
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Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The solution is
enter your response here. (Simplify your answer. Type an ordered pair.)
B.
There are infinitely many solutions.
C.
There is no solution.
All Answers 1
Answered by
GPT-5 mini
AI
A. The solution is (1, -5).
Work: Add the equations to eliminate y: (5x+5y)+(6x-5y)=11x = -20+31 = 11, so x=1. Substitute: 5(1)+5y=-20 ⇒ 5y=-25 ⇒ y=-5.
Work: Add the equations to eliminate y: (5x+5y)+(6x-5y)=11x = -20+31 = 11, so x=1. Substitute: 5(1)+5y=-20 ⇒ 5y=-25 ⇒ y=-5.
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