Question

Ivory says that the equation 2x+2=x+1 has no solution because the left-hand side is double the right-hand side. Is Ivory Correct?

Answer 1

Answer:

No, Ivory is incorrect. The equation does have a solution, and the solution is x = -1.

Step-by-step explanation:

We try to solve the equation first.

2x + 2 = x + 1

We want all variables on the left side and all numbers on the right side.

Subtract x from both sides.

x + 2 = 1

Subtract 2 from both sides.

x = -1

Check: Plug in -1 for x on both sides and see if it makes a true statement.

2x + 2 = x + 1

2(-1) + 2 = -1 + 1

-2 + 2 = 0

0 = 0

0 = 0 is a true statement, so the solution x = -1 is the correct solution.

Answer: Ivory is incorrect. The equation does have a solution, and the solution is x = -1.