Solve {l}{7-3x=3x}{text{Solvefor}ytext{where}}{y=-17}

$$\left. \begin{array} { l } { 7 - 3 x = 3 x }\\ { \text{Solve for } y \text{ where} } \\ { y = -17 } \end{array} \right.$$

Solve for x, y

$$y=-17$$

Solution Steps

Consider the first equation. Subtract 3x from both sides.

$$7-3x-3x=0$$

Combine -3x and -3x to get -6x.

$$7-6x=0$$

Subtract 7 from both sides. Anything subtracted from zero gives its negation.

$$-6x=-7$$

Divide both sides by -6.

$$x=\frac{-7}{-6}$$

Fraction \frac{-7}{-6} can be simplified to \frac{7}{6} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{6}$$

The system is now solved.

$$x=\frac{7}{6} y=-17$$