Solve {l}{y^2+2=2(x+2)}{x+4^5/+7^5/6=0}

$$\left. \begin{array} { l } { y ^ { 2 } + 2 = 2 ( x + 2 ) } \\ { x + 4 ^ { 5 / } + 7 ^ { 5 / 6 } = 0 } \end{array} \right.$$

Solve for x

$$x=\frac{y^{2}-2}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+2.

$$y^{2}+2=2x+4$$

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

$$2x+4=y^{2}+2$$

Subtract 4 from both sides.

$$2x=y^{2}+2-4$$

Subtract 4 from 2 to get -2.

$$2x=y^{2}-2$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{y^{2}-2}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{y^{2}-2}{2}$$

Divide y^{2}-2 by 2.

$$x=\frac{y^{2}}{2}-1$$