Question

Samuel is solving the equation 3(x-1)+4=2-(x+3) Which equivalent equations might Samuel use? Check all that apply.

Answer 1

Answer:

A. 3x - 3 + 4 = 2 - x - 3

D. 3x + 1 = -x - 1

Step-by-step explanation:

3(x - 1)+4 = 2 -(x + 3)

Use distributive law.

3x - 3 + 4 = 2 - x - 3 --- (1)

which is given in option (A).

Also, on simplifying (1),

3x + 1 = -x - 1 which is given in option (D).

Hence, the correct answers are (A) and (D).

Answer 2

Answer:

Option A and D are correct.

$3x -3 +4 =2-x-3$ and $3x +1 = -x -1$ are the equivalent equations might Samuel use

Step-by-step explanation:

Given the equation: $3(x-1)+4 = 2-(x+3)$

using distributive property; $a\cdot (b+c) = a\cdot b+ a\cdot c$

3x - 3 + 4 = 2- x -3

Like terms are those terms that have same variables or power

Combine like terms on each side;

3x + 1 = -x -1

Subtract 1 from both sides we get;

3x = -x -2

or

4x = -2

Divide both sides by 4 we get;

$x = -\frac{2}{4} = -\frac{1}{2}$

Therefore, the equivalent equations might Samuel use are; $3x -3 +4 =2-x-3$ and $3x +1 = -x -1$