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

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

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

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

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

$$20-5x=2\left(y+5\right)$$

Use the distributive property to multiply 2 by y+5.

$$20-5x=2y+10$$

Subtract 20 from both sides.

$$-5x=2y+10-20$$

Subtract 20 from 10 to get -10.

$$-5x=2y-10$$

Divide both sides by -5.

$$\frac{-5x}{-5}=\frac{2y-10}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$x=\frac{2y-10}{-5}$$

Divide -10+2y by -5.

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

Solve for y

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

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

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

$$20-5x=2\left(y+5\right)$$

Use the distributive property to multiply 2 by y+5.

$$20-5x=2y+10$$

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

$$2y+10=20-5x$$

Subtract 10 from both sides.

$$2y=20-5x-10$$

Subtract 10 from 20 to get 10.

$$2y=10-5x$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{10-5x}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{10-5x}{2}$$

Divide 10-5x by 2.

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