Solve for x, y
x=\frac{85-5m}{42}
y=\frac{7-5m}{6}
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6y+5m=7,-y+7x=13
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
6y+5m=7
Pick one of the two equations which is more simple to solve for y by isolating y on the left hand side of the equal sign.
6y=7-5m
Subtract 5m from both sides of the equation.
y=\frac{7-5m}{6}
Divide both sides by 6.
-\frac{7-5m}{6}+7x=13
Substitute \frac{7-5m}{6} for y in the other equation, -y+7x=13.
7x=\frac{85-5m}{6}
Subtract \frac{-7+5m}{6} from both sides of the equation.
x=\frac{85-5m}{42}
Divide both sides by 7.
y=\frac{7-5m}{6},x=\frac{85-5m}{42}
The system is now solved.
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