Solve (y-10)/(5)-(y-7)/(3)=1 | 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

$$\frac{ y-10 }{ 5 } - \frac{ y-7 }{ 3 } =1$$

Solve for y

$y=-5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $15$, the least common multiple of $5,3$.

$$3\left(y-10\right)-5\left(y-7\right)=15$$

Use the distributive property to multiply $3$ by $y-10$.

$$3y-30-5\left(y-7\right)=15$$

Use the distributive property to multiply $-5$ by $y-7$.

$$3y-30-5y+35=15$$

Combine $3y$ and $-5y$ to get $-2y$.

$$-2y-30+35=15$$

Add $-30$ and $35$ to get $5$.

$$-2y+5=15$$

Subtract $5$ from both sides.

$$-2y=15-5$$

Subtract $5$ from $15$ to get $10$.

$$-2y=10$$

Divide both sides by $-2$.

$$y=\frac{10}{-2}$$

Divide $10$ by $-2$ to get $-5$.

$$y=-5$$