Solve 7/5y+2/3x=11/13

$$\frac{ 7 }{ 5 } y+ \frac{ 2 }{ 3 } x= \frac{ 11 }{ 13 }$$

Solve for x

$$x=-\frac{21y}{10}+\frac{33}{26}$$

Steps for Solving Linear Equation

Subtract \frac{7}{5}y from both sides.

$$\frac{2}{3}x=\frac{11}{13}-\frac{7}{5}y$$

The equation is in standard form.

$$\frac{2}{3}x=-\frac{7y}{5}+\frac{11}{13}$$

Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{-\frac{7y}{5}+\frac{11}{13}}{\frac{2}{3}}$$

Dividing by \frac{2}{3} undoes the multiplication by \frac{2}{3}.

$$x=\frac{-\frac{7y}{5}+\frac{11}{13}}{\frac{2}{3}}$$

Divide \frac{11}{13}-\frac{7y}{5} by \frac{2}{3} by multiplying \frac{11}{13}-\frac{7y}{5} by the reciprocal of \frac{2}{3}.

$$x=-\frac{21y}{10}+\frac{33}{26}$$

Solve for y

$$y=-\frac{10x}{21}+\frac{55}{91}$$

Steps for Solving Linear Equation

Subtract \frac{2}{3}x from both sides.

$$\frac{7}{5}y=\frac{11}{13}-\frac{2}{3}x$$

The equation is in standard form.

$$\frac{7}{5}y=-\frac{2x}{3}+\frac{11}{13}$$

Divide both sides of the equation by \frac{7}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{7}{5}y}{\frac{7}{5}}=\frac{-\frac{2x}{3}+\frac{11}{13}}{\frac{7}{5}}$$

Dividing by \frac{7}{5} undoes the multiplication by \frac{7}{5}.

$$y=\frac{-\frac{2x}{3}+\frac{11}{13}}{\frac{7}{5}}$$

Divide \frac{11}{13}-\frac{2x}{3} by \frac{7}{5} by multiplying \frac{11}{13}-\frac{2x}{3} by the reciprocal of \frac{7}{5}.

$$y=-\frac{10x}{21}+\frac{55}{91}$$