Question

Hai's teacher writes the equation 3x - 4 = 2(x + 3) + x. Hai concludes that the

equation has infinitely many solutions. Is Hai correct? Explain.

Answer 1

Hai is incorrect, there is no solution to this equation.

Explanation:

1.) Expand.

3x-4=2x+6+x3x−4=2x+6+x

2.) Simplify 2x+6+x2x+6+x to 3x+63x+6.

3x-4=3x+63x−4=3x+6

3.) Cancel 3x3x on both sides.

-4=6−4=6

4.) Since -4=6−4=6 is false, there is no solution.

Therefore, this equation has no solution