Question

-5x+y=-10 and -4x-y=-26

Answer 1

`\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.`

Explanation:

Solve the equation

`\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.`

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Add the two equations

`-5x+y+(-4x-y)=-10+(-26)`

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Remove parentheses

`-5x+y-4x-y=-10-26`

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Cancel one variable

`-5x-4x=-10-26`

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Combine like terms

`-9x=-10-26`

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Calculate the sum or difference

`-9x=-36`

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Divide both sides of the equation by the coefficient of variable

`x=(-36)/(-9)`

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Determine the sign for multiplication or division

`x=(36)/(9)`

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Cross out the common factor

`x=4`

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Explanation:

Substitute into one of the equations

`-4*4-y=-26`

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Calculate the product or quotient

`-16-y=-26`

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Rearrange variables to the left side of the equation

`-y=-26+16`

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Calculate the sum or difference

`-y=-10`

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Divide both sides of the equation by the coefficient of variable

`y=10`

I hope this helps you

:)