Question

23.) solve the equation. \\( 21 = 3p - 6 \\)
24.) solve the equation. \\( \frac{m}{15} = \frac{2}{5} \\)
25.) solve the equation. \\( 4m + 5 = 2m + 45 \\)
26.) solve the equation. \\( 3(x - 5) = -x + 5 \\)
27.) solve the equation \\( bx - 4 = 5 \\) for \\( x \\). assume \\( b \
eq 0 \\).
28.) solve the equation \\( 2x + 3y = 12 \\) for \\( y \\).

Explanation:

Question 23:

Step1: Add 6 to both sides

$21 + 6 = 3p - 6 + 6$
$27 = 3p$

Step2: Divide both sides by 3

$\frac{27}{3} = \frac{3p}{3}$
$9 = p$

Step1: Cross - multiply

$5m = 2\times15$
$5m = 30$

Step2: Divide both sides by 5

$\frac{5m}{5}=\frac{30}{5}$
$m = 6$

Step1: Subtract $2m$ from both sides

$4m + 5-2m=2m + 45-2m$
$2m+5 = 45$

Step2: Subtract 5 from both sides

$2m+5 - 5=45 - 5$
$2m=40$

Step3: Divide both sides by 2

$\frac{2m}{2}=\frac{40}{2}$
$m = 20$

Answer:

$p = 9$

Question 24: