Solve x_{1}=frac{94+8x_{2}}{7}

$$x _ { 1 } = \frac { 94 + 8 x _ { 2 } } { 7 }$$

Solve for x_2

$$x_{2}=\frac{7x_{1}}{8}-\frac{47}{4}$$

Steps for Solving Linear Equation

Divide each term of 94+8x_{2} by 7 to get \frac{94}{7}+\frac{8}{7}x_{2}.

$$x_{1}=\frac{94}{7}+\frac{8}{7}x_{2}$$

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

$$\frac{94}{7}+\frac{8}{7}x_{2}=x_{1}$$

Subtract \frac{94}{7} from both sides.

$$\frac{8}{7}x_{2}=x_{1}-\frac{94}{7}$$

Divide both sides of the equation by \frac{8}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{8}{7}x_{2}}{\frac{8}{7}}=\frac{x_{1}-\frac{94}{7}}{\frac{8}{7}}$$

Dividing by \frac{8}{7} undoes the multiplication by \frac{8}{7}.

$$x_{2}=\frac{x_{1}-\frac{94}{7}}{\frac{8}{7}}$$

Divide x_{1}-\frac{94}{7} by \frac{8}{7} by multiplying x_{1}-\frac{94}{7} by the reciprocal of \frac{8}{7}.

$$x_{2}=\frac{7x_{1}}{8}-\frac{47}{4}$$

Solve for x_1

$$x_{1}=\frac{8x_{2}+94}{7}$$

Solution Steps

Divide each term of 94+8x_{2} by 7 to get \frac{94}{7}+\frac{8}{7}x_{2}.

$$x_{1}=\frac{94}{7}+\frac{8}{7}x_{2}$$