The value of 6x-5y = -31
The given equations are 2x-y=-7 -eq (1)
& 4x=-3y+16 -eq (2)
Multiplying eq (1) with 2 and rearranging to get equation as follows
(2x-y=-7)*2
4x-2y=-14 -eq (3)
Now, subtracting eq (3) from eq (2) to get y.
(4x+3y=16) - (4x-2y=-14)
5y=30
y=5
Substituting y=5 in eq (1) to get x.
2x-5=-7
x=-1
Now to determine 6x-5y substitute obtained values of x & y.
6*(-1)-5(5)=-31
Hence the value of 6x-5y=-31.
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