Solve 16x/16x=-2y+42/16

$$\frac { 16 x } { 16 x } = \frac { - 2 y + 42 } { 16 }$$

Solve for x

$$x\neq 0$$

$$y=13$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 16x, the least common multiple of 16x,16.

$$16x=x\left(-2y+42\right)$$

Use the distributive property to multiply x by -2y+42.

$$16x=-2xy+42x$$

Add 2xy to both sides.

$$16x+2xy=42x$$

Subtract 42x from both sides.

$$16x+2xy-42x=0$$

Combine 16x and -42x to get -26x.

$$-26x+2xy=0$$

Combine all terms containing x.

$$\left(-26+2y\right)x=0$$

The equation is in standard form.

$$\left(2y-26\right)x=0$$

Divide 0 by -26+2y.

$$x=0$$

Variable x cannot be equal to 0.

$$x\in \emptyset$$

Solve for y

$$y=13$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 16x, the least common multiple of 16x,16.

$$16x=x\left(-2y+42\right)$$

Use the distributive property to multiply x by -2y+42.

$$16x=-2xy+42x$$

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

$$-2xy+42x=16x$$

Subtract 42x from both sides.

$$-2xy=16x-42x$$

Combine 16x and -42x to get -26x.

$$-2xy=-26x$$

The equation is in standard form.

$$\left(-2x\right)y=-26x$$

Divide both sides by -2x.

$$\frac{\left(-2x\right)y}{-2x}=-\frac{26x}{-2x}$$

Dividing by -2x undoes the multiplication by -2x.

$$y=-\frac{26x}{-2x}$$

Divide -26x by -2x.

$$y=13$$