Solve 62/11a-15/11b=7

$$\frac { 62 } { 11 } a - \frac { 15 } { 11 } b = 7$$

Solve for a

$$a=\frac{15b+77}{62}$$

Steps for Solving Linear Equation

Add \frac{15}{11}b to both sides.

$$\frac{62}{11}a=7+\frac{15}{11}b$$

The equation is in standard form.

$$\frac{62}{11}a=\frac{15b}{11}+7$$

Divide both sides of the equation by \frac{62}{11}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{62}{11}a}{\frac{62}{11}}=\frac{\frac{15b}{11}+7}{\frac{62}{11}}$$

Dividing by \frac{62}{11} undoes the multiplication by \frac{62}{11}.

$$a=\frac{\frac{15b}{11}+7}{\frac{62}{11}}$$

Divide 7+\frac{15b}{11} by \frac{62}{11} by multiplying 7+\frac{15b}{11} by the reciprocal of \frac{62}{11}.

$$a=\frac{15b+77}{62}$$

Solve for b

$$b=\frac{62a-77}{15}$$

Steps for Solving Linear Equation

Subtract \frac{62}{11}a from both sides.

$$-\frac{15}{11}b=7-\frac{62}{11}a$$

The equation is in standard form.

$$-\frac{15}{11}b=-\frac{62a}{11}+7$$

Divide both sides of the equation by -\frac{15}{11}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{15}{11}b}{-\frac{15}{11}}=\frac{-\frac{62a}{11}+7}{-\frac{15}{11}}$$

Dividing by -\frac{15}{11} undoes the multiplication by -\frac{15}{11}.

$$b=\frac{-\frac{62a}{11}+7}{-\frac{15}{11}}$$

Divide 7-\frac{62a}{11} by -\frac{15}{11} by multiplying 7-\frac{62a}{11} by the reciprocal of -\frac{15}{11}.

$$b=\frac{62a-77}{15}$$