How to solve Y = 4/5 * x + 1/2

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve Y = 4/5 * x + 1/2 | Equatix

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$$Y=\frac{4}{5}x+\frac{1}{2}$$

$x=\frac{5Y}{4}-\frac{5}{8}$

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

$$\frac{4}{5}x+\frac{1}{2}=Y$$

Subtract $\frac{1}{2}$ from both sides.

$$\frac{4}{5}x=Y-\frac{1}{2}$$

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

$$\frac{\frac{4}{5}x}{\frac{4}{5}}=\frac{Y-\frac{1}{2}}{\frac{4}{5}}$$

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

$$x=\frac{Y-\frac{1}{2}}{\frac{4}{5}}$$

Divide $Y-\frac{1}{2}$ by $\frac{4}{5}$ by multiplying $Y-\frac{1}{2}$ by the reciprocal of $\frac{4}{5}$.

$$x=\frac{5Y}{4}-\frac{5}{8}$$

$Y=\frac{4x}{5}+\frac{1}{2}$