Solve {l}{7x+7=y}{7+2x=8}

$$\left. \begin{array} { l } { 7 x + 7 = y } \\ { 7 + 2 x = 8 } \end{array} \right.$$

Solve for x, y

$$x=\frac{1}{2}=0.5$$

$$y = \frac{21}{2} = 10\frac{1}{2} = 10.5$$

Solution Steps

Consider the second equation. Subtract 7 from both sides.

$$2x=8-7$$

Subtract 7 from 8 to get 1.

$$2x=1$$

Divide both sides by 2.

$$x=\frac{1}{2}$$

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

$$7\times \frac{1}{2}+7=y$$

Multiply 7 and \frac{1}{2} to get \frac{7}{2}.

$$\frac{7}{2}+7=y$$

Add \frac{7}{2} and 7 to get \frac{21}{2}.

$$\frac{21}{2}=y$$

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

$$y=\frac{21}{2}$$

The system is now solved.

$$x=\frac{1}{2} y=\frac{21}{2}$$