Solve (y - 4)/2 = (y + 3)/9 | 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

$$\frac{y-4}{2}=\frac{y+3}{9}$$

Solve for y

$y=6$

Steps for Solving Linear Equation

Multiply both sides of the equation by $18$, the least common multiple of $2,9$.

$$9\left(y-4\right)=2\left(y+3\right)$$

Use the distributive property to multiply $9$ by $y-4$.

$$9y-36=2\left(y+3\right)$$

Use the distributive property to multiply $2$ by $y+3$.

$$9y-36=2y+6$$

Subtract $2y$ from both sides.

$$9y-36-2y=6$$

Combine $9y$ and $-2y$ to get $7y$.

$$7y-36=6$$

Add $36$ to both sides.

$$7y=6+36$$

Add $6$ and $36$ to get $42$.

$$7y=42$$

Divide both sides by $7$.

$$y=\frac{42}{7}$$

Divide $42$ by $7$ to get $6$.

$$y=6$$