\{ 2 ( x + y ) + 6 x = 46
Solve for x
x=\frac{23-y}{4}
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2x+2y+6x=46
Use the distributive property to multiply 2 by x+y.
8x+2y=46
Combine 2x and 6x to get 8x.
8x=46-2y
Subtract 2y from both sides.
\frac{8x}{8}=\frac{46-2y}{8}
Divide both sides by 8.
x=\frac{46-2y}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{23-y}{4}
Divide 46-2y by 8.
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