Solve 7x+9y-3y=76x

$$7 x + 9 y - 3 y = 76 x$$

Solve for x

$$x=\frac{2y}{23}$$

Steps for Solving Linear Equation

Combine 9y and -3y to get 6y.

$$7x+6y=76x$$

Subtract 76x from both sides.

$$7x+6y-76x=0$$

Combine 7x and -76x to get -69x.

$$-69x+6y=0$$

Subtract 6y from both sides. Anything subtracted from zero gives its negation.

$$-69x=-6y$$

Divide both sides by -69.

$$\frac{-69x}{-69}=-\frac{6y}{-69}$$

Dividing by -69 undoes the multiplication by -69.

$$x=-\frac{6y}{-69}$$

Divide -6y by -69.

$$x=\frac{2y}{23}$$

Solve for y

$$y=\frac{23x}{2}$$

Steps for Solving Linear Equation

Combine 9y and -3y to get 6y.

$$7x+6y=76x$$

Subtract 7x from both sides.

$$6y=76x-7x$$

Combine 76x and -7x to get 69x.

$$6y=69x$$

Divide both sides by 6.

$$\frac{6y}{6}=\frac{69x}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$y=\frac{69x}{6}$$

Divide 69x by 6.

$$y=\frac{23x}{2}$$