How to solve 5/(PG) = 2/I

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 5/(PG) = 2/I | Equatix

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Question

$$\frac{3.5}{PG}=\frac{2}{I}$$

Solve for G

$G=\frac{7I}{4P}$
$P\neq 0\text{ and }I\neq 0$

Steps for Solving Linear Equation

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

$$I\times 3.5=GP\times 2$$

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

$$GP\times 2=I\times 3.5$$

The equation is in standard form.

$$2PG=\frac{7I}{2}$$

Divide both sides by $2P$.

$$\frac{2PG}{2P}=\frac{7I}{2\times 2P}$$

Dividing by $2P$ undoes the multiplication by $2P$.

$$G=\frac{7I}{2\times 2P}$$

Divide $\frac{7I}{2}$ by $2P$.

$$G=\frac{7I}{4P}$$

Variable $G$ cannot be equal to $0$.

$$G=\frac{7I}{4P}\text{, }G\neq 0$$

Show Solution

Solve for I

$I=\frac{4GP}{7}$
$P\neq 0\text{ and }G\neq 0$

Steps for Solving Linear Equation

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

$$I\times 3.5=GP\times 2$$

Reorder the terms.

$$3.5I=2GP$$

Divide both sides of the equation by $3.5$, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{3.5I}{3.5}=\frac{2GP}{3.5}$$

Dividing by $3.5$ undoes the multiplication by $3.5$.

$$I=\frac{2GP}{3.5}$$

Divide $2GP$ by $3.5$ by multiplying $2GP$ by the reciprocal of $3.5$.

$$I=\frac{4GP}{7}$$

Variable $I$ cannot be equal to $0$.

$$I=\frac{4GP}{7}\text{, }I\neq 0$$

Show Solution

Basic Math

Pre-Algebra

Algebra

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Calculus

Precalculus

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Example

Question

Solve for G

Steps for Solving Linear Equation

Solve for I

Steps for Solving Linear Equation