Solve for x
x=\frac{116-120y}{7}
Solve for y
y=-\frac{7x}{120}+\frac{29}{30}
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7x+120y=116
Multiply 5 and 24 to get 120.
7x=116-120y
Subtract 120y from both sides.
\frac{7x}{7}=\frac{116-120y}{7}
Divide both sides by 7.
x=\frac{116-120y}{7}
Dividing by 7 undoes the multiplication by 7.
7x+120y=116
Multiply 5 and 24 to get 120.
120y=116-7x
Subtract 7x from both sides.
\frac{120y}{120}=\frac{116-7x}{120}
Divide both sides by 120.
y=\frac{116-7x}{120}
Dividing by 120 undoes the multiplication by 120.
y=-\frac{7x}{120}+\frac{29}{30}
Divide 116-7x by 120.
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