Solve ( viii) (2y + 24)/(5y + 4) = 2 | 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

$$\frac { 2 y + 24 } { 5 y + 4 } = 2$$

Solve for y

$y=2$

Steps for Solving Linear Equation

Variable $y$ cannot be equal to $-\frac{4}{5}$ since division by zero is not defined. Multiply both sides of the equation by $5y+4$.

$$2y+24=2\left(5y+4\right)$$

Use the distributive property to multiply $2$ by $5y+4$.

$$2y+24=10y+8$$

Subtract $10y$ from both sides.

$$2y+24-10y=8$$

Combine $2y$ and $-10y$ to get $-8y$.

$$-8y+24=8$$

Subtract $24$ from both sides.

$$-8y=8-24$$

Subtract $24$ from $8$ to get $-16$.

$$-8y=-16$$

Divide both sides by $-8$.

$$y=\frac{-16}{-8}$$

Divide $-16$ by $-8$ to get $2$.

$$y=2$$