Question

Determine the number of solutions each equation has.

1: 4(y - 2) + 4 = 2(2y - 2)
a) No solution
b) One solution
c) Infinite solutions
d) Multiple solutions

Answer 1

The equation 4(y - 2) + 4 = 2(2y - 2) has no solutions.

Step-by-step explanation:

To determine the number of solutions for the equation 4(y - 2) + 4 = 2(2y - 2), we need to simplify and solve for y. Here are the steps:

1. Expand and simplify both sides of the equation: 4y - 8 + 4 = 4y - 4
2. Combine like terms: 4y - 4 = 4y - 4
3. Subtract 4y from both sides: -4 = 0
4. Since the equation ends up as a contradiction (false statement), there are no solutions to the equation.