Question

Solve the system by the addition method x + 5y = 135x + 6y = 8

Answer 1

S ={-2,3}

Solving the system, by the addition method:

x + 5y = 13 Multiply that equation by -5

5x + 6y = 8

-5x -25y = -65 Add both equations

5x + 6y = 8​

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-19y=-57

19y = 57 Divide by 19

y=3

x + 5y = 13 Plug y=3 in the first equation

x+5(3) =13

x+15=13 Subtract 15 from both sides

x=13-15

x=-2

S ={-2,3}