Solve 4z-10=0;z=quad3x

$$4 z - 10 = 0 ; z = \quad 3 x$$

Solve for z, x

$$x=\frac{5}{6}\approx 0.833333333$$

$$z = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Solution Steps

Consider the first equation. Add 10 to both sides. Anything plus zero gives itself.

$$4z=10$$

Divide both sides by 4.

$$z=\frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$z=\frac{5}{2}$$

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

$$\frac{5}{2}=3x$$

Divide both sides by 3.

$$\frac{\frac{5}{2}}{3}=x$$

Express \frac{\frac{5}{2}}{3} as a single fraction.

$$\frac{5}{2\times 3}=x$$

Multiply 2 and 3 to get 6.

$$\frac{5}{6}=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=\frac{5}{6}$$

The system is now solved.

$$z=\frac{5}{2} x=\frac{5}{6}$$