First we need to solve for X.
Solve for xx.
-3x+3y=12−3x+3y=12
Divide both sides by -3−3.
x-y=-\frac{12}{3}x−y=−
Simplify \frac{12}{3}
x-y=-4x−y=−4
Add y to both sides.
x=-4+yx=−4+y
Regroup terms.
x=y-4x=y−4
Step two:
Let's start with the normal equation.
3x+6y=-573x+6y=−57
Let x=y-4x=y−4.
3(y-4)+6y=-573(y−4)+6y=−57
Simplify.
9y-12=-579y−12=−57
Great! Now we are on step 3.
Solve for y.
9y-12=-579y−12=−57
Add 1212 to both sides.
9y=-57+129y=−57+12
Simplify -57+12−57+12 to -45−45.
9y=-459y=−45
Divide both sides by 99.
y=-\frac{45}{9}y=−
Simplify \frac{45}{9} to 55.
y=-5y=−5
Step 4! Boom!!
Now let's start with what we have.
x=y-4x=y−4
Let y=-5y=−5.
x=-5-4x=−5−4
Simplify.
x=-9x=−9
Then our answers are:
x=−9
y=-5y=−5
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