Question

Four students each wrote an equation. Which two students wrote equations that have no solution?

Answer 1

Answer:

Beto and Mark

Step-by-step explanation:

To know which of the equations written by the four students has no solution, let's try to solve each.

Beto's equation:

$3m = 3m + 5$

$3m - 3m = 3m + 5 - 3m$

$0 = 5$ (This is incorrect. 0 ≠ 5. This is not a solution)

Lila's Equation:

$9r + 4 = 4 + 9r$

$9r + 4 - 9r = 4 + 9r - 9r$

$4 = 4$ (this is correct)

Mark's equation:

$6 - n = -n + 2$

$6 - n + n = -n + 2 + n$

$6 = 2$ (incorrect. 6 ≠ 2)

Wanda's Equation:

$8u - 2 = 2u + 8$

$8u - 2 + 2 = 2u + 8 + 2$

$8u = 2u + 10$

$8u - 2u = 2u + 10 - 2u$

$6u = 10$

$\frac{6u}{6} = \frac{10}{6}$

$u = \frac{5}{3}$

If you plug in the value of u into the original equation, the equation would be balanced. Therefore, this is a solution.

Beto and Mark we equations that have no solution.