Solve 6x-9/7y=3/7

$$6 x - \frac { 9 } { 7 } y = \frac { 3 } { 7 }$$

Solve for x

$$x=\frac{3y+1}{14}$$

Steps for Solving Linear Equation

Add \frac{9}{7}y to both sides.

$$6x=\frac{3}{7}+\frac{9}{7}y$$

The equation is in standard form.

$$6x=\frac{9y+3}{7}$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{9y+3}{6\times 7}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{9y+3}{6\times 7}$$

Divide \frac{3+9y}{7} by 6.

$$x=\frac{3y+1}{14}$$

Solve for y

$$y=\frac{14x-1}{3}$$

Steps for Solving Linear Equation

Subtract 6x from both sides.

$$-\frac{9}{7}y=\frac{3}{7}-6x$$

Divide both sides of the equation by -\frac{9}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{9}{7}y}{-\frac{9}{7}}=\frac{\frac{3}{7}-6x}{-\frac{9}{7}}$$

Dividing by -\frac{9}{7} undoes the multiplication by -\frac{9}{7}.

$$y=\frac{\frac{3}{7}-6x}{-\frac{9}{7}}$$

Divide \frac{3}{7}-6x by -\frac{9}{7} by multiplying \frac{3}{7}-6x by the reciprocal of -\frac{9}{7}.

$$y=\frac{14x-1}{3}$$