Solve (r - 5)/3 = (r - 3)/5 | 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

$$\frac{r-5}{3}=\frac{r-3}{5}$$

Solve for r

$r=8$

Steps for Solving Linear Equation

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

$$5\left(r-5\right)=3\left(r-3\right)$$

Use the distributive property to multiply $5$ by $r-5$.

$$5r-25=3\left(r-3\right)$$

Use the distributive property to multiply $3$ by $r-3$.

$$5r-25=3r-9$$

Subtract $3r$ from both sides.

$$5r-25-3r=-9$$

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

$$2r-25=-9$$

Add $25$ to both sides.

$$2r=-9+25$$

Add $-9$ and $25$ to get $16$.

$$2r=16$$

Divide both sides by $2$.

$$r=\frac{16}{2}$$

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

$$r=8$$