Solve {l}{7x-2y=35}{x=-9}{z=y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { 7 x - 2 y = 35 }\\ { x = -9 }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for x, y, z, a

$$a=-49$$

Solution Steps

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

$$7\left(-9\right)-2y=35$$

Multiply 7 and -9 to get -63.

$$-63-2y=35$$

Add 63 to both sides.

$$-2y=35+63$$

Add 35 and 63 to get 98.

$$-2y=98$$

Divide both sides by -2.

$$y=\frac{98}{-2}$$

Divide 98 by -2 to get -49.

$$y=-49$$

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

$$z=-49$$

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

$$a=-49$$

The system is now solved.

$$x=-9 y=-49 z=-49 a=-49$$