Solve {l}{-1*5{(6-.5x)}=-61}{y=5}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { -1 \cdot 5 {(6 - .5 x)} = -61 }\\ { y = 5 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=5$$

Solution Steps

Consider the first equation. Multiply -1 and 5 to get -5.

$$-5\left(6-0.5x\right)=-61$$

Use the distributive property to multiply -5 by 6-0.5x.

$$-30+2.5x=-61$$

Add 30 to both sides.

$$2.5x=-61+30$$

Add -61 and 30 to get -31.

$$2.5x=-31$$

Divide both sides by 2.5.

$$x=\frac{-31}{2.5}$$

Expand \frac{-31}{2.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-310}{25}$$

Reduce the fraction \frac{-310}{25} to lowest terms by extracting and canceling out 5.

$$x=-\frac{62}{5}$$

The system is now solved.

$$x=-\frac{62}{5} y=5 z=5$$