Question

Here is an equation and all the steps Clare and Lin took to solve it. Are both of their solutions correct? Explain your reasoning.

Answer 1

Answer:

Both solutions are correct

Step-by-step explanation:

Given

Expression:

$14x - 2x +3 = 3(5x + 9)$

See attachment for Clare and Lins' solution

Required

Determine if they are correct or not

$14x - 2x +3 = 3(5x + 9)$

Open bracket

$14x - 2x + 3 = 15x + 27$

Collect like terms

$14x - 2x -15x = -3 + 27$

$-3x = 24$

Divide by -3

$x = \frac{24}{-3}$

$x = -8$

Both solutions are correct