Solve for x
x=\frac{3y+11}{4}
Solve for y
y=\frac{4x-11}{3}
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2\times 2\left(x+4\right)-3y=27
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4\left(x+4\right)-3y=27
Multiply 2 and 2 to get 4.
4x+16-3y=27
Use the distributive property to multiply 4 by x+4.
4x-3y=27-16
Subtract 16 from both sides.
4x-3y=11
Subtract 16 from 27 to get 11.
4x=11+3y
Add 3y to both sides.
4x=3y+11
The equation is in standard form.
\frac{4x}{4}=\frac{3y+11}{4}
Divide both sides by 4.
x=\frac{3y+11}{4}
Dividing by 4 undoes the multiplication by 4.
2\times 2\left(x+4\right)-3y=27
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4\left(x+4\right)-3y=27
Multiply 2 and 2 to get 4.
4x+16-3y=27
Use the distributive property to multiply 4 by x+4.
16-3y=27-4x
Subtract 4x from both sides.
-3y=27-4x-16
Subtract 16 from both sides.
-3y=11-4x
Subtract 16 from 27 to get 11.
\frac{-3y}{-3}=\frac{11-4x}{-3}
Divide both sides by -3.
y=\frac{11-4x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{4x-11}{3}
Divide 11-4x by -3.
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