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What is the solution to the system of equations? Use the substitution method to solve.


6=−4x+y

−5x−y=21


Please help! And, if you don't mind, could you explain to me what the substitution method is? Thanks guys!

Verified Answer :

ampofoeugenia7

In the substitution method, you will take the value of one variable in one equation and replace the variable in the second equation with that value.
For instance
6=-4x+y
6+4x=-4x+y+4x              So the value of y is 6+4x
6+4x=y y=6+4x     
In the second equation, replace every y with 6+4x
-5x-y=21                        -9x-6+6=21+6                       x=-3    
 -5x-(6+4x)=21                  -9x=27             So using the value of y, we found -5x-6-4x=21                   -9x/-9=27/-9    the value of x

y=6+4(-3)  y=6-12  y=-6 Using substitution, we know that x=-3 and y=-6

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