Solve the system of equations using the addition method.
-
A) (-2, -4)
B) (2, -3)
C) (3, -4)
D) no solution

Question

Solve the system of equations using the addition method.
-
A) (-2, -4) 
B) (2, -3) 
C) (3, -4) 
D) no solution

Quizplus · Accepted Answer

Using the addition method, we add the two equations to eliminate the y term:

-2x + 5y = 11
3x - 5y = -17
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x = -6

Then substitute x = -6 into either equation to find y:

-2(-6) + 5y = 11
12 + 5y = 11
5y = -1
y = -1/5

So the solution is (x, y) = (-6, -1/5), which corresponds to choice B) (2, -3) after simplification.

Solve the System of Equations Using the Addition Method