Solve 3/4x+3y=21/2

$$\frac { 3 } { 4 } x + 3 y = \frac { 21 } { 2 }$$

Solve for x

$$x=14-4y$$

Steps for Solving Linear Equation

Subtract 3y from both sides.

$$\frac{3}{4}x=\frac{21}{2}-3y$$

Divide both sides of the equation by \frac{3}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{4}x}{\frac{3}{4}}=\frac{\frac{21}{2}-3y}{\frac{3}{4}}$$

Dividing by \frac{3}{4} undoes the multiplication by \frac{3}{4}.

$$x=\frac{\frac{21}{2}-3y}{\frac{3}{4}}$$

Divide \frac{21}{2}-3y by \frac{3}{4} by multiplying \frac{21}{2}-3y by the reciprocal of \frac{3}{4}.

$$x=14-4y$$

Solve for y

$$y=-\frac{x}{4}+\frac{7}{2}$$

Steps for Solving Linear Equation

Subtract \frac{3}{4}x from both sides.

$$3y=\frac{21}{2}-\frac{3}{4}x$$

The equation is in standard form.

$$3y=-\frac{3x}{4}+\frac{21}{2}$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{-\frac{3x}{4}+\frac{21}{2}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{-\frac{3x}{4}+\frac{21}{2}}{3}$$

Divide \frac{21}{2}-\frac{3x}{4} by 3.

$$y=-\frac{x}{4}+\frac{7}{2}$$