Solve y=5(x+y)/4

$$y = \frac { 5 ( x + y ) } { 4 }$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+y.

$$y=\frac{5x+5y}{4}$$

Divide each term of 5x+5y by 4 to get \frac{5}{4}x+\frac{5}{4}y.

$$y=\frac{5}{4}x+\frac{5}{4}y$$

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

$$\frac{5}{4}x+\frac{5}{4}y=y$$

Subtract \frac{5}{4}y from both sides.

$$\frac{5}{4}x=y-\frac{5}{4}y$$

Combine y and -\frac{5}{4}y to get -\frac{1}{4}y.

$$\frac{5}{4}x=-\frac{1}{4}y$$

The equation is in standard form.

$$\frac{5}{4}x=-\frac{y}{4}$$

Divide both sides of the equation by \frac{5}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{4}x}{\frac{5}{4}}=-\frac{\frac{y}{4}}{\frac{5}{4}}$$

Dividing by \frac{5}{4} undoes the multiplication by \frac{5}{4}.

$$x=-\frac{\frac{y}{4}}{\frac{5}{4}}$$

Divide -\frac{y}{4} by \frac{5}{4} by multiplying -\frac{y}{4} by the reciprocal of \frac{5}{4}.

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

Solve for y

$$y=-5x$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+y.

$$y=\frac{5x+5y}{4}$$

Divide each term of 5x+5y by 4 to get \frac{5}{4}x+\frac{5}{4}y.

$$y=\frac{5}{4}x+\frac{5}{4}y$$

Subtract \frac{5}{4}y from both sides.

$$y-\frac{5}{4}y=\frac{5}{4}x$$

Combine y and -\frac{5}{4}y to get -\frac{1}{4}y.

$$-\frac{1}{4}y=\frac{5}{4}x$$

The equation is in standard form.

$$-\frac{1}{4}y=\frac{5x}{4}$$

Multiply both sides by -4.

$$\frac{-\frac{1}{4}y}{-\frac{1}{4}}=\frac{5x}{-\frac{1}{4}\times 4}$$

Dividing by -\frac{1}{4} undoes the multiplication by -\frac{1}{4}.

$$y=\frac{5x}{-\frac{1}{4}\times 4}$$

Divide \frac{5x}{4} by -\frac{1}{4} by multiplying \frac{5x}{4} by the reciprocal of -\frac{1}{4}.

$$y=-5x$$