Question

problem 5
tamiya says that the equation ( 2x + 2 = x + 1 ) has no solution because the left - hand side is double the right - hand side.
is tamiyas claim correct?
yes
no
explain your thinking.

Explanation:

Step1: Solve the equation \(2x + 2 = x + 1\)

Subtract \(x\) from both sides: \(2x - x + 2 = x - x + 1\), which simplifies to \(x + 2 = 1\).

Step2: Isolate \(x\)

Subtract 2 from both sides: \(x + 2 - 2 = 1 - 2\), so \(x = -1\).
Since we found a solution (\(x = -1\)) to the equation, Tamiya's claim that the equation has no solution is incorrect.

Answer:

No. By solving the equation \(2x + 2 = x + 1\) (subtract \(x\) from both sides: \(x + 2 = 1\); then subtract 2 from both sides: \(x = -1\)), we find \(x = -1\) is a solution, so the equation does have a solution, making Tamiya's claim wrong.