Solve 7*y-7=-8/3(x+2)

$$7 \cdot y - 7 = - \frac { 8 } { 3 } ( x + 2 )$$

Solve for x

$$x=\frac{5-21y}{8}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{8}{3} by x+2.

$$7y-7=-\frac{8}{3}x-\frac{16}{3}$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{8}{3}x-\frac{16}{3}=7y-7$$

Add \frac{16}{3} to both sides.

$$-\frac{8}{3}x=7y-7+\frac{16}{3}$$

Add -7 and \frac{16}{3} to get -\frac{5}{3}.

$$-\frac{8}{3}x=7y-\frac{5}{3}$$

Divide both sides of the equation by -\frac{8}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{8}{3}x}{-\frac{8}{3}}=\frac{7y-\frac{5}{3}}{-\frac{8}{3}}$$

Dividing by -\frac{8}{3} undoes the multiplication by -\frac{8}{3}.

$$x=\frac{7y-\frac{5}{3}}{-\frac{8}{3}}$$

Divide 7y-\frac{5}{3} by -\frac{8}{3} by multiplying 7y-\frac{5}{3} by the reciprocal of -\frac{8}{3}.

$$x=\frac{5-21y}{8}$$

Solve for y

$$y=\frac{5-8x}{21}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{8}{3} by x+2.

$$7y-7=-\frac{8}{3}x-\frac{16}{3}$$

Add 7 to both sides.

$$7y=-\frac{8}{3}x-\frac{16}{3}+7$$

Add -\frac{16}{3} and 7 to get \frac{5}{3}.

$$7y=-\frac{8}{3}x+\frac{5}{3}$$

The equation is in standard form.

$$7y=\frac{5-8x}{3}$$

Divide both sides by 7.

$$\frac{7y}{7}=\frac{5-8x}{3\times 7}$$

Dividing by 7 undoes the multiplication by 7.

$$y=\frac{5-8x}{3\times 7}$$

Divide \frac{-8x+5}{3} by 7.

$$y=\frac{5-8x}{21}$$