Solve -25=-x(50+3250y)

$$-25=-x(50+3250y)$$

Solve for x

$$x=\frac{1}{2\left(65y+1\right)}$$

$$y\neq -\frac{1}{65}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -x by 50+3250y.

$$-25=50\left(-x\right)+3250\left(-x\right)y$$

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

$$50\left(-x\right)+3250\left(-x\right)y=-25$$

Multiply 50 and -1 to get -50.

$$-50x+3250\left(-1\right)xy=-25$$

Multiply 3250 and -1 to get -3250.

$$-50x-3250xy=-25$$

Combine all terms containing x.

$$\left(-50-3250y\right)x=-25$$

The equation is in standard form.

$$\left(-3250y-50\right)x=-25$$

Divide both sides by -50-3250y.

$$\frac{\left(-3250y-50\right)x}{-3250y-50}=-\frac{25}{-3250y-50}$$

Dividing by -50-3250y undoes the multiplication by -50-3250y.

$$x=-\frac{25}{-3250y-50}$$

Divide -25 by -50-3250y.

$$x=\frac{1}{2\left(65y+1\right)}$$

Solve for y

$$y=-\frac{1}{65}+\frac{1}{130x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply -x by 50+3250y.

$$-25=50\left(-x\right)+3250\left(-x\right)y$$

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

$$50\left(-x\right)+3250\left(-x\right)y=-25$$

Subtract 50\left(-x\right) from both sides.

$$3250\left(-x\right)y=-25-50\left(-x\right)$$

Multiply 3250 and -1 to get -3250.

$$-3250xy=-25-50\left(-1\right)x$$

Multiply -50 and -1 to get 50.

$$-3250xy=-25+50x$$

The equation is in standard form.

$$\left(-3250x\right)y=50x-25$$

Divide both sides by -3250x.

$$\frac{\left(-3250x\right)y}{-3250x}=\frac{50x-25}{-3250x}$$

Dividing by -3250x undoes the multiplication by -3250x.

$$y=\frac{50x-25}{-3250x}$$

Divide -25+50x by -3250x.

$$y=-\frac{1}{65}+\frac{1}{130x}$$