How to solve (x + 3)/y = 5/6 5

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 (x + 3)/y = 5/6 5 | Equatix

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Question

$$\left. \begin{array} { l } { \frac { x + 3 } { y } = \frac { 5 } { 6 } } \\ { x = 5 } \end{array} \right.$$

Solve for x, y

$x=5$
$y = \frac{48}{5} = 9\frac{3}{5} = 9.6$

Solution Steps

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

$$\frac{5+3}{y}=\frac{5}{6}$$

Variable $y$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $6y$, the least common multiple of $y,6$.

$$6\left(5+3\right)=5y$$

Add $5$ and $3$ to get $8$.

$$6\times 8=5y$$

Multiply $6$ and $8$ to get $48$.

$$48=5y$$

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

$$5y=48$$

Divide both sides by $5$.

$$y=\frac{48}{5}$$

The system is now solved.

$$x=5$$ $$y=\frac{48}{5}$$

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