Question

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

Answer 1

Answer:

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

Step-by-step 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

$x=\frac{-36}{-9}$

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Determine the sign for multiplication or division

$x=\frac{36}{9}$

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Cross out the common factor

$x=4$

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Step-by-step explanation:

Substitute into one of the equations

$-4\times4-y=-26$

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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

:)