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sveticcg [70]
3 years ago
9

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

Mathematics
2 answers:
Oksana_A [137]3 years ago
8 0

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).

Juliette [100K]3 years ago
7 0

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


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