Solve Z = 4/5 * (z + 10) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$Z=\frac{4}{5}(z+10)$$

Solve for z

$z=\frac{5\left(Z-8\right)}{4}$

Steps for Solving Linear Equation

Use the distributive property to multiply $\frac{4}{5}$ by $z+10$.

$$Z=\frac{4}{5}z+8$$

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

$$\frac{4}{5}z+8=Z$$

Subtract $8$ from both sides.

$$\frac{4}{5}z=Z-8$$

Divide both sides of the equation by $\frac{4}{5}$, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{5}z}{\frac{4}{5}}=\frac{Z-8}{\frac{4}{5}}$$

Dividing by $\frac{4}{5}$ undoes the multiplication by $\frac{4}{5}$.

$$z=\frac{Z-8}{\frac{4}{5}}$$

Divide $Z-8$ by $\frac{4}{5}$ by multiplying $Z-8$ by the reciprocal of $\frac{4}{5}$.

$$z=\frac{5Z}{4}-10$$

Solve for Z

$Z=\frac{4\left(z+10\right)}{5}$