Solve -2x/5+y-1/10=-6/5

$$- \frac{ 2x }{ 5 } + \frac{ y-1 }{ 10 } = - \frac{ 6 }{ 5 }$$

Solve for x

$$x=\frac{y+11}{4}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,10.

$$-2\times 2x+y-1=-12$$

Multiply -2 and 2 to get -4.

$$-4x+y-1=-12$$

Subtract y from both sides.

$$-4x-1=-12-y$$

Add 1 to both sides.

$$-4x=-12-y+1$$

Add -12 and 1 to get -11.

$$-4x=-11-y$$

The equation is in standard form.

$$-4x=-y-11$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{-y-11}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{-y-11}{-4}$$

Divide -11-y by -4.

$$x=\frac{y+11}{4}$$

Solve for y

$$y=4x-11$$

Solution Steps

Multiply both sides of the equation by 10, the least common multiple of 5,10.

$$-2\times 2x+y-1=-12$$

Multiply -2 and 2 to get -4.

$$-4x+y-1=-12$$

Add 4x to both sides.

$$y-1=-12+4x$$

Add 1 to both sides.

$$y=-12+4x+1$$

Add -12 and 1 to get -11.

$$y=-11+4x$$