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xeze [42]
3 years ago
11

Solve by using substitution-4x+y=6   and   -5x-y=21  

Mathematics
2 answers:
spin [16.1K]3 years ago
4 0
\left \{ {{-4x+y=6} \atop {-5x-y=21}} \right. \\\\ \left \{ {{y=6+4x} \atop {-5x-y=21}} \right. \\\\Substitute\ first\ equation\ into\ the\ second\\\\
-5x-(6+4x)=21\\
-5x-6-4x=21\\
-9x-6=21\ \ \ |add\ 6\\\\
-9x=27\ \ \ |divide\ by\ -9\\\\
x=-3\\
y=6+4*(-3)=6-12=-6\\\\ \left \{ {{y=-6} \atop {x=-3}} \right.
NeX [460]3 years ago
3 0
So if you're solving by substitution, one equation must be in slope intercept form. Ill just go with the first one. 

-4x+y=6
<u>+4x        +4x
</u>y=6+4x

Now substitute the value of y in for the value of y in the second equation:
-5x-(6+4x)=21
-5x-6-4x=21
-9x-6=21
<u>     +6  +6
</u><u>-9x=27
</u>-9    -9

x=-3

Now input that into the first equation:
-4(-3)+y=6
12+y=6
<u>-12    -12</u>
y=-6


I HOPE THIS WAS HELPFUL! If it was, please rate my answer!

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