Question

In 3 to 5 sentences, explain how to solve the absolute value equations: a) 3(y - 2) = 120 and b) 4(n + 5) = 40. Then, solve the problems.

Answer 1

To solve absolute value equations, isolate the absolute value expression and solve for the variable inside. For a) 3(y - 2) = 120, the solution is y = 42. For b) 4(n + 5) = 40, the solution is n = 5.

Step-by-step explanation:

To solve the absolute value equations, we need to isolate the absolute value expression and then solve for the variable inside the absolute value symbol. Let's solve the given equations:

a) 3(y - 2) = 120:

• Distribute the 3: 3y - 6 = 120
• Add 6 to both sides: 3y = 126
• Divide by 3: y = 42

b) 4(n + 5) = 40:

• Distribute the 4: 4n + 20 = 40
• Subtract 20 from both sides: 4n = 20
• Divide by 4: n = 5