Solve (1-4x-3y)+5(x+y)+x-7y=-5

$$( 1 - 4 x - 3 y ) + 5 ( x + y ) + x - 7 y = - 5$$

Solve for x

$$x=\frac{5y}{2}-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+y.

$$1-4x-3y+5x+5y+x-7y=-5$$

Combine -4x and 5x to get x.

$$1+x-3y+5y+x-7y=-5$$

Combine -3y and 5y to get 2y.

$$1+x+2y+x-7y=-5$$

Combine x and x to get 2x.

$$1+2x+2y-7y=-5$$

Combine 2y and -7y to get -5y.

$$1+2x-5y=-5$$

Subtract 1 from both sides.

$$2x-5y=-5-1$$

Subtract 1 from -5 to get -6.

$$2x-5y=-6$$

Add 5y to both sides.

$$2x=-6+5y$$

The equation is in standard form.

$$2x=5y-6$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{5y-6}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{5y-6}{2}$$

Divide -6+5y by 2.

$$x=\frac{5y}{2}-3$$

Solve for y

$$y=\frac{2\left(x+3\right)}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+y.

$$1-4x-3y+5x+5y+x-7y=-5$$

Combine -4x and 5x to get x.

$$1+x-3y+5y+x-7y=-5$$

Combine -3y and 5y to get 2y.

$$1+x+2y+x-7y=-5$$

Combine x and x to get 2x.

$$1+2x+2y-7y=-5$$

Combine 2y and -7y to get -5y.

$$1+2x-5y=-5$$

Subtract 1 from both sides.

$$2x-5y=-5-1$$

Subtract 1 from -5 to get -6.

$$2x-5y=-6$$

Subtract 2x from both sides.

$$-5y=-6-2x$$

The equation is in standard form.

$$-5y=-2x-6$$

Divide both sides by -5.

$$\frac{-5y}{-5}=\frac{-2x-6}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$y=\frac{-2x-6}{-5}$$

Divide -6-2x by -5.

$$y=\frac{2x+6}{5}$$