Question

Evaluate the steps used to solve the equation -3y + 3 = 2y - 4 and determine the solution based on the steps provided.

Step 1:
Step 2:
§ = 5y - 4
14 = 5y
(6) 14 = (6) 5y
Step 3:
What is the solution to the equation?
y = ?
Options:
a) 2
b) 3
c) 4
d) 5

Answer 1

To solve the equation -3y + 3 = 2y - 4, follow these steps: combine like terms, subtract 3 from both sides, divide by -5 to solve for y. The solution is y = 7/5 or 1.4.

Step-by-step explanation:

To solve the equation -3y + 3 = 2y - 4, we can follow these steps:

Step 1: Combine like terms on each side of the equation:

• -3y + 3 = 2y - 4
• -3y - 2y + 3 = -4
• -5y + 3 = -4

Step 2: Subtract 3 from both sides of the equation:

• -5y + 3 - 3 = -4 - 3
• -5y = -7

Step 3: Divide both sides of the equation by -5 to solve for y:

• -5y / -5 = -7 / -5
• y = 7/5

Therefore, the solution to the equation is y = 7/5, which is equivalent to 1.4.