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tangare [24]
3 years ago
6

Mathematical Statement Justification

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

1. Given mathematical statement

4x+3=x+5-2x

So,

\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}

2. Rewrite it as

4x+3=x-2x+5

So,

\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}

3. Combine like terms x and -2x:

4x+3=-x+5

So,

\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}

4. Add x to both sides:

4x+3+x=-x+5+x\\ \\5x+3=5

So,

\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}

5. Subtract 3 from both sides:

5x+3-3=5-3\\ \\5x=2

So,

\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}

6. Divide both sides by 5:

x=\dfrac{2}{5}

So,

\begin{array}{cc}x=\dfrac{2}{5}&\text{ Division property of equality}\end{array}

Nata [24]3 years ago
3 0

Answer:

B.  Combine Like Terms; Addition Property of Equality; Subtraction Property of Equality; Division Property of Equality

Step-by-step explanation:

I took the quiz and got it right

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