Solve {l}{6=3+4x}{9=7+2y}

$$\left\{ \begin{array} { l } { 6 = 3 + 4 x } \\ { 9 = 7 + 2 y } \end{array} \right.$$

Solve for x, y

$$x=\frac{3}{4}=0.75$$

$$y=1$$

Solution Steps

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

$$3+4x=6$$

Subtract 3 from both sides.

$$4x=6-3$$

Subtract 3 from 6 to get 3.

$$4x=3$$

Divide both sides by 4.

$$x=\frac{3}{4}$$

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

$$7+2y=9$$

Subtract 7 from both sides.

$$2y=9-7$$

Subtract 7 from 9 to get 2.

$$2y=2$$

Divide both sides by 2.

$$y=\frac{2}{2}$$

Divide 2 by 2 to get 1.

$$y=1$$

The system is now solved.

$$x=\frac{3}{4} y=1$$