Solve y+2/4+x-5/3=0

$$\frac { y + 2 } { 4 } + \frac { x - 5 } { 3 } = 0$$

Solve for x

$$x=-\frac{3y}{4}+\frac{7}{2}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(y+2\right)+4\left(x-5\right)=0$$

Use the distributive property to multiply 3 by y+2.

$$3y+6+4\left(x-5\right)=0$$

Use the distributive property to multiply 4 by x-5.

$$3y+6+4x-20=0$$

Subtract 20 from 6 to get -14.

$$3y-14+4x=0$$

Subtract 3y from both sides. Anything subtracted from zero gives its negation.

$$-14+4x=-3y$$

Add 14 to both sides.

$$4x=-3y+14$$

The equation is in standard form.

$$4x=14-3y$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{14-3y}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{14-3y}{4}$$

Divide -3y+14 by 4.

$$x=-\frac{3y}{4}+\frac{7}{2}$$

Solve for y

$$y=\frac{14-4x}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(y+2\right)+4\left(x-5\right)=0$$

Use the distributive property to multiply 3 by y+2.

$$3y+6+4\left(x-5\right)=0$$

Use the distributive property to multiply 4 by x-5.

$$3y+6+4x-20=0$$

Subtract 20 from 6 to get -14.

$$3y-14+4x=0$$

Add 14 to both sides. Anything plus zero gives itself.

$$3y+4x=14$$

Subtract 4x from both sides.

$$3y=14-4x$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{14-4x}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{14-4x}{3}$$