Question

question 3: solve the following equations
(a) $\frac{x + 1}{2}=3$
(b) $\frac{w - 4}{3}=2$
(c) $\frac{x - 2}{7}=6$
(d) $\frac{w + 9}{4}=8$
(e) $\frac{w - 25}{3}=-7$
(f) $\frac{x + 2}{4}=-1$
(g) $\frac{w + 20}{8}=-2$
(h) $\frac{x - 9}{4}=-2$

Explanation:

(a)

Step1: Cross - multiply

$x + 1=3\times2$

Step2: Simplify the right - hand side

$x + 1 = 6$

Step3: Solve for x

$x=6 - 1$

Step1: Cross - multiply

$w-4 = 3\times2$

Step2: Simplify the right - hand side

$w-4=6$

Step3: Solve for w

$w=6 + 4$

Step1: Cross - multiply

$x-2=7\times6$

Step2: Simplify the right - hand side

$x - 2=42$

Step3: Solve for x

$x=42 + 2$

Answer:

$x = 5$

(b)