Solve y=-(x+3/4)+49/8

$$y = - ( x + \frac { 3 } { 4 } ) + \frac { 49 } { 8 }$$

Solve for x

$$x=\frac{43}{8}-y$$

Steps for Solving Linear Equation

To find the opposite of x+\frac{3}{4}, find the opposite of each term.

$$y=-x-\frac{3}{4}+\frac{49}{8}$$

Add -\frac{3}{4} and \frac{49}{8} to get \frac{43}{8}.

$$y=-x+\frac{43}{8}$$

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

$$-x+\frac{43}{8}=y$$

Subtract \frac{43}{8} from both sides.

$$-x=y-\frac{43}{8}$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{y-\frac{43}{8}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{y-\frac{43}{8}}{-1}$$

Divide y-\frac{43}{8} by -1.

$$x=\frac{43}{8}-y$$

Solve for y

$$y=\frac{43}{8}-x$$

Solution Steps

To find the opposite of x+\frac{3}{4}, find the opposite of each term.

$$y=-x-\frac{3}{4}+\frac{49}{8}$$

Add -\frac{3}{4} and \frac{49}{8} to get \frac{43}{8}.

$$y=-x+\frac{43}{8}$$