Solve {l}{x=63}{x-y=5}{z=3x+7y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { x = 63 }\\ { x - y = 5 }\\ { z = 3 x + 7 y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for x, y, z, a

$$a=595$$

Solution Steps

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

$$63-y=5$$

Subtract 63 from both sides.

$$-y=5-63$$

Subtract 63 from 5 to get -58.

$$-y=-58$$

Divide both sides by -1.

$$y=\frac{-58}{-1}$$

Fraction \frac{-58}{-1} can be simplified to 58 by removing the negative sign from both the numerator and the denominator.

$$y=58$$

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

$$z=3\times 63+7\times 58$$

Do the multiplications.

$$z=189+406$$

Add 189 and 406 to get 595.

$$z=595$$

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

$$a=595$$

The system is now solved.

$$x=63 y=58 z=595 a=595$$