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What is the solution to the system of equations? Use the substitution meathod to solve. 6=-4x+y and -5x-y=21

User STWilson
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1 Answer

4 votes

Answer:

(-3,-6)

Explanation:

A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.

We can solve for y in 6=-4x+y. 6+4x=y.

Because y=6+4x, we can substitute 6+4x into y in -5x-y=21.

-5x-y=21

-5x-(6+4x)=21

-5x-6-4x=21

-9x-6=21

-9x=27

x=-3

We now substitute x=-3 into y=6+4x.

y=6+4x

y=6+4(-3)

y=6-12

y=-6

User Phargelm
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