Solve 5x*6+2*4div6x+4=25x+y

$$5x \times 6+2 \times 4 \div 6x+4=25x+y$$

Solve for x

$$x=\frac{3\left(y-4\right)}{19}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$30x\times 6+2\times 4x+24=150x+6y$$

Multiply 30 and 6 to get 180.

$$180x+2\times 4x+24=150x+6y$$

Multiply 2 and 4 to get 8.

$$180x+8x+24=150x+6y$$

Combine 180x and 8x to get 188x.

$$188x+24=150x+6y$$

Subtract 150x from both sides.

$$188x+24-150x=6y$$

Combine 188x and -150x to get 38x.

$$38x+24=6y$$

Subtract 24 from both sides.

$$38x=6y-24$$

Divide both sides by 38.

$$\frac{38x}{38}=\frac{6y-24}{38}$$

Dividing by 38 undoes the multiplication by 38.

$$x=\frac{6y-24}{38}$$

Divide -24+6y by 38.

$$x=\frac{3y-12}{19}$$

Solve for y

$$y=\frac{19x}{3}+4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$30x\times 6+2\times 4x+24=150x+6y$$

Multiply 30 and 6 to get 180.

$$180x+2\times 4x+24=150x+6y$$

Multiply 2 and 4 to get 8.

$$180x+8x+24=150x+6y$$

Combine 180x and 8x to get 188x.

$$188x+24=150x+6y$$

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

$$150x+6y=188x+24$$

Subtract 150x from both sides.

$$6y=188x+24-150x$$

Combine 188x and -150x to get 38x.

$$6y=38x+24$$

Divide both sides by 6.

$$\frac{6y}{6}=\frac{38x+24}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$y=\frac{38x+24}{6}$$

Divide 38x+24 by 6.

$$y=\frac{19x}{3}+4$$