Solve 2+9y/11=-2+15y/13

$$\frac { 2 + 9 y } { 11 } = \frac { - 2 + 15 y } { 13 }$$

Solve for y

$$y=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 143, the least common multiple of 11,13.

$$13\left(2+9y\right)=11\left(-2+15y\right)$$

Use the distributive property to multiply 13 by 2+9y.

$$26+117y=11\left(-2+15y\right)$$

Use the distributive property to multiply 11 by -2+15y.

$$26+117y=-22+165y$$

Subtract 165y from both sides.

$$26+117y-165y=-22$$

Combine 117y and -165y to get -48y.

$$26-48y=-22$$

Subtract 26 from both sides.

$$-48y=-22-26$$

Subtract 26 from -22 to get -48.

$$-48y=-48$$

Divide both sides by -48.

$$y=\frac{-48}{-48}$$

Divide -48 by -48 to get 1.

$$y=1$$