Question

4 solve the following equations.
-5c + 9c = -20
36 = 6b - 6 + b
6(7k - 10) = 24
10x - 16 = 44

Explanation:

Equation 1: $-5c + 9c = -20$

Step1: Combine like terms

$4c = -20$

Step2: Isolate $c$ (divide by 4)

$c = \frac{-20}{4}$

Equation 2: $36 = 6b - 6 + b$

Step1: Combine like terms

$36 = 7b - 6$

Step2: Add 6 to both sides

$36 + 6 = 7b$
$42 = 7b$

Step3: Isolate $b$ (divide by 7)

$b = \frac{42}{7}$

Equation 3: $6(7k - 10) = 24$

Step1: Divide both sides by 6

$7k - 10 = \frac{24}{6}$
$7k - 10 = 4$

Step2: Add 10 to both sides

$7k = 4 + 10$
$7k = 14$

Step3: Isolate $k$ (divide by 7)

$k = \frac{14}{7}$

Equation 4: $10x - 16 = 44$

Step1: Add 16 to both sides

$10x = 44 + 16$
$10x = 60$

Step2: Isolate $x$ (divide by 10)

$x = \frac{60}{10}$

Answer:

$c = -5$
$b = 6$
$k = 2$
$x = 6$