`(1/5)x + (1/2)y = -13, x + y = -35` Solve the system of linear equations and check any solutions algebraically.

Expert Answers

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`(1/5)x+(1/2)y=-13`

`x+y=-35`

Multiply first equation by 2,

`(2x)/5+y=-26`  

Subtract the above equation from the second equation,

`(x-(2x)/5)=-35-(-26)`

`(5x-2x)/5=-35+26`

`(3x)/5=-9`

`x=(-9)*5/3`

`x=-15`

Plug in the value of x in the second equation,

`-15+y=-35`

`y=-35+15`

`y=-20`

Solutions of the equations are x=-15 and y=-20

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