Solve a/3+b/37=711/999

$$\frac { a } { 3 } + \frac { b } { 37 } = \frac { 711 } { 999 }$$

Solve for a

$$a=\frac{79-3b}{37}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 999, the least common multiple of 3,37,999.

$$333a+27b=711$$

Subtract 27b from both sides.

$$333a=711-27b$$

Divide both sides by 333.

$$\frac{333a}{333}=\frac{711-27b}{333}$$

Dividing by 333 undoes the multiplication by 333.

$$a=\frac{711-27b}{333}$$

Divide 711-27b by 333.

$$a=\frac{79-3b}{37}$$

Solve for b

$$b=\frac{79-37a}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 999, the least common multiple of 3,37,999.

$$333a+27b=711$$

Subtract 333a from both sides.

$$27b=711-333a$$

Divide both sides by 27.

$$\frac{27b}{27}=\frac{711-333a}{27}$$

Dividing by 27 undoes the multiplication by 27.

$$b=\frac{711-333a}{27}$$

Divide 711-333a by 27.

$$b=\frac{79-37a}{3}$$