Solve 42x+30z-20x-30z=57/2-45

$$42x+30z-20x-30z = \frac{ 57 }{ 2 } -45$$

Solve for x

$$x=-\frac{3}{4}=-0.75$$

Steps for Solving Linear Equation

Combine 42x and -20x to get 22x.

$$22x+30z-30z=\frac{57}{2}-45$$

Combine 30z and -30z to get 0.

$$22x=\frac{57}{2}-45$$

Subtract 45 from \frac{57}{2} to get -\frac{33}{2}.

$$22x=-\frac{33}{2}$$

Divide both sides by 22.

$$x=\frac{-\frac{33}{2}}{22}$$

Express \frac{-\frac{33}{2}}{22} as a single fraction.

$$x=\frac{-33}{2\times 22}$$

Multiply 2 and 22 to get 44.

$$x=\frac{-33}{44}$$

Reduce the fraction \frac{-33}{44} to lowest terms by extracting and canceling out 11.

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

Solve for z

$$z\in \mathrm{R}$$

$$x = -\frac{3}{4} = -0.75$$