Solve (y-2)/(5)-(y-3)/(6)=(3)/(10) | 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

$$\frac{ y-2 }{ 5 } - \frac{ y-3 }{ 6 } = \frac{ 3 }{ 10 }$$

Solve for y

$y=6$

Steps for Solving Linear Equation

Multiply both sides of the equation by $30$, the least common multiple of $5,6,10$.

$$6\left(y-2\right)-5\left(y-3\right)=9$$

Use the distributive property to multiply $6$ by $y-2$.

$$6y-12-5\left(y-3\right)=9$$

Use the distributive property to multiply $-5$ by $y-3$.

$$6y-12-5y+15=9$$

Combine $6y$ and $-5y$ to get $y$.

$$y-12+15=9$$

Add $-12$ and $15$ to get $3$.

$$y+3=9$$

Subtract $3$ from both sides.

$$y=9-3$$

Subtract $3$ from $9$ to get $6$.

$$y=6$$