Solve {l}{y=(-4/3)x+3}{y=(-4)+2}

$$\left. \begin{array} { l } { y = ( - \frac { 4 } { 3 } ) x + 3 } \\ { y = ( - 4 ) + 2 } \end{array} \right.$$

Solve for y, x

$$x = \frac{15}{4} = 3\frac{3}{4} = 3.75$$

$$y=-2$$

Solution Steps

Consider the second equation. Add -4 and 2 to get -2.

$$y=-2$$

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

$$-2=-\frac{4}{3}x+3$$

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

$$-\frac{4}{3}x+3=-2$$

Subtract 3 from both sides.

$$-\frac{4}{3}x=-2-3$$

Subtract 3 from -2 to get -5.

$$-\frac{4}{3}x=-5$$

Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.

$$x=-5\left(-\frac{3}{4}\right)$$

Multiply -5 and -\frac{3}{4} to get \frac{15}{4}.

$$x=\frac{15}{4}$$

The system is now solved.

$$y=-2 x=\frac{15}{4}$$