Solve -4/5=-0,5-y/3-x

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

Solve for x

$$x=-\frac{5y}{4}+2,375$$

$$y\neq -0,5$$

Steps for Solving Linear Equation

Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 5\left(x-3\right), the least common multiple of 5;3-x.

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

Use the distributive property to multiply x-3 by -4.

$$-4x+12=-5\left(-0,5-y\right)$$

Use the distributive property to multiply -5 by -0,5-y.

$$-4x+12=2,5+5y$$

Subtract 12 from both sides.

$$-4x=2,5+5y-12$$

Subtract 12 from 2,5 to get -9,5.

$$-4x=-9,5+5y$$

The equation is in standard form.

$$-4x=5y-9,5$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{5y-9,5}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{5y-9,5}{-4}$$

Divide -9,5+5y by -4.

$$x=-\frac{5y}{4}+\frac{19}{8}$$

Variable x cannot be equal to 3.

$$x=-\frac{5y}{4}+\frac{19}{8}\text{, }x\neq 3$$

Solve for y

$$y=-\frac{4x}{5}+1,9$$

$$x\neq 3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5\left(x-3\right), the least common multiple of 5;3-x.

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

Use the distributive property to multiply x-3 by -4.

$$-4x+12=-5\left(-0,5-y\right)$$

Use the distributive property to multiply -5 by -0,5-y.

$$-4x+12=2,5+5y$$

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

$$2,5+5y=-4x+12$$

Subtract 2,5 from both sides.

$$5y=-4x+12-2,5$$

Subtract 2,5 from 12 to get 9,5.

$$5y=-4x+9,5$$

The equation is in standard form.

$$5y=9,5-4x$$

Divide both sides by 5.

$$\frac{5y}{5}=\frac{9,5-4x}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$y=\frac{9,5-4x}{5}$$

Divide -4x+9,5 by 5.

$$y=-\frac{4x}{5}+\frac{19}{10}$$