Solve 42x+30z-20x-30z=51/2-45

$$42 x + 30 z - 20 x - 30 z = \frac { 51 } { 2 } - 45$$

Solve for x

$$x=-\frac{39}{44}\approx -0.886363636$$

Steps for Solving Linear Equation

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

$$22x+30z-30z=\frac{51}{2}-45$$

Combine 30z and -30z to get 0.

$$22x=\frac{51}{2}-45$$

Subtract 45 from \frac{51}{2} to get -\frac{39}{2}.

$$22x=-\frac{39}{2}$$

Divide both sides by 22.

$$x=\frac{-\frac{39}{2}}{22}$$

Express \frac{-\frac{39}{2}}{22} as a single fraction.

$$x=\frac{-39}{2\times 22}$$

Multiply 2 and 22 to get 44.

$$x=\frac{-39}{44}$$

Fraction \frac{-39}{44} can be rewritten as -\frac{39}{44} by extracting the negative sign.

$$x=-\frac{39}{44}$$

Solve for z

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

$$x = -\frac{39}{44} = -0.8863636363636364$$