Question

Solve the system of equations.

2x + 7y = -38
-5x - 8y = 38



(-6, 2)

(2, -6)

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Answer 1

2x + 7y = -38 ----------(1

-5x - 8y = 38 -----------(2
Multiplying eq (1 by 5 and adding them (2 by 2 we find

10x + 35y = -190 ----------(1

-10x - 16y = 76 -----------(2
-----------------------------------
19y = - 144
y=-6
Substituting y=-6 in eq (1 we find
2x + 7*(-6) = -38
2x-42=-38
2x= 42-38
2x= 4
x= 2
Hence (2, -6) is the solution of the given system of equations.

Answer 2

thanks it allmakes sense now