Solve x+0,5y/x-5+7=0

$$\frac { x + 0,5 y } { x - 5 } + 7 = 0$$

Solve for x

$$x=-\frac{y}{16}+4,375$$

$$y\neq -10$$

Steps for Solving Linear Equation

Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by x-5.

$$x+0,5y+\left(x-5\right)\times 7=0$$

Use the distributive property to multiply x-5 by 7.

$$x+0,5y+7x-35=0$$

Combine x and 7x to get 8x.

$$8x+0,5y-35=0$$

Subtract 0,5y from both sides. Anything subtracted from zero gives its negation.

$$8x-35=-0,5y$$

Add 35 to both sides.

$$8x=-0,5y+35$$

The equation is in standard form.

$$8x=-\frac{y}{2}+35$$

Divide both sides by 8.

$$\frac{8x}{8}=\frac{-\frac{y}{2}+35}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$x=\frac{-\frac{y}{2}+35}{8}$$

Divide -\frac{y}{2}+35 by 8.

$$x=-\frac{y}{16}+\frac{35}{8}$$

Variable x cannot be equal to 5.

$$x=-\frac{y}{16}+\frac{35}{8}\text{, }x\neq 5$$

Solve for y

$$y=70-16x$$

$$x\neq 5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x-5.

$$x+0,5y+\left(x-5\right)\times 7=0$$

Use the distributive property to multiply x-5 by 7.

$$x+0,5y+7x-35=0$$

Combine x and 7x to get 8x.

$$8x+0,5y-35=0$$

Subtract 8x from both sides. Anything subtracted from zero gives its negation.

$$0,5y-35=-8x$$

Add 35 to both sides.

$$0,5y=-8x+35$$

The equation is in standard form.

$$0,5y=35-8x$$

Multiply both sides by 2.

$$\frac{0,5y}{0,5}=\frac{35-8x}{0,5}$$

Dividing by 0,5 undoes the multiplication by 0,5.

$$y=\frac{35-8x}{0,5}$$

Divide -8x+35 by 0,5 by multiplying -8x+35 by the reciprocal of 0,5.

$$y=70-16x$$