Question

4a) solve the equation 25 - 3x = 40.

• show all steps in solving this equation.

4b) solve the equation \\(\frac{1}{3}(x - 10) = -4\\)

• show all steps in solving this equation.

Explanation:

Step1: Isolate the term with x (4A)

$25 - 3x - 25 = 40 - 25$
$-3x = 15$

Step2: Solve for x (4A)

$\frac{-3x}{-3} = \frac{15}{-3}$
$x = -5$

Step3: Eliminate the fraction (4B)

$3 \times \frac{1}{3}(x - 10) = -4 \times 3$
$x - 10 = -12$

Step4: Solve for x (4B)

$x - 10 + 10 = -12 + 10$
$x = -2$

Answer:

For 4A: $x = -5$
For 4B: $x = -2$