How to solve st - 3 = 3t - 5

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve st - 3 = 3t - 5 | Equatix

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$st-3=3t-5$$

Solve for s

$s=3-\frac{2}{t}$
$t\neq 0$

Steps for Solving Linear Equation

Add $3$ to both sides.

$$st=3t-5+3$$

Add $-5$ and $3$ to get $-2$.

$$st=3t-2$$

The equation is in standard form.

$$ts=3t-2$$

Divide both sides by $t$.

$$\frac{ts}{t}=\frac{3t-2}{t}$$

Dividing by $t$ undoes the multiplication by $t$.

$$s=\frac{3t-2}{t}$$

Divide $3t-2$ by $t$.

$$s=3-\frac{2}{t}$$

Show Solution

Solve for t

$t=-\frac{2}{s-3}$
$s\neq 3$

Steps for Solving Linear Equation

Subtract $3t$ from both sides.

$$st-3-3t=-5$$

Add $3$ to both sides.

$$st-3t=-5+3$$

Add $-5$ and $3$ to get $-2$.

$$st-3t=-2$$

Combine all terms containing $t$.

$$\left(s-3\right)t=-2$$

Divide both sides by $s-3$.

$$\frac{\left(s-3\right)t}{s-3}=-\frac{2}{s-3}$$

Dividing by $s-3$ undoes the multiplication by $s-3$.

$$t=-\frac{2}{s-3}$$

Show Solution

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Example

Question

Solve for s

Steps for Solving Linear Equation

Solve for t

Steps for Solving Linear Equation