Solve {l}{x-1=4+1}{x-3=3y-7}

$$\left. \begin{array} { l } { x - 1 = 4 + 1 } \\ { x - 3 = 3 y - 7 } \end{array} \right.$$

Solve for x, y

$$x=6$$

$$y = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Solution Steps

Consider the first equation. Add 4 and 1 to get 5.

$$x-1=5$$

Add 1 to both sides.

$$x=5+1$$

Add 5 and 1 to get 6.

$$x=6$$

Consider the second equation. Insert the known values of variables into the equation.

$$6-3=3y-7$$

Subtract 3 from 6 to get 3.

$$3=3y-7$$

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

$$3y-7=3$$

Add 7 to both sides.

$$3y=3+7$$

Add 3 and 7 to get 10.

$$3y=10$$

Divide both sides by 3.

$$y=\frac{10}{3}$$

The system is now solved.

$$x=6 y=\frac{10}{3}$$