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Which value of x makes the equation 3.2(3x − 7) = 16 true?

A)9.6
B)3.5
C)4.5
D)4

User Jake Coxon
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2 Answers

1 vote

Answer:

Ans is(D) x=4

Explanation:

this is your answer.hope this will help u

Which value of x makes the equation 3.2(3x − 7) = 16 true? A)9.6 B)3.5 C)4.5 D)4-example-1
User Huralnyk
by
8.9k points
2 votes

Answer:

D) 4

Explanation:

To find the value of x that makes 3.2(3x - 7) = 16 true, we can use algebraic operations to rearrange the equation to isolate x.

Divide both sides of the equation by 3.2:


\begin{aligned}(3.2(3x-7))/(3.2)&=(16)/(3.2)\\\\3x-7&=5\end{aligned}

Add 7 to both sides of the equation:


\begin{aligned}3x-7+7&=5+7\\\\3x&=12\end{aligned}

Divide both sides of the equation by 3:


\begin{aligned}(3x)/(3)&=(12)/(3)\\\\x&=4\end{aligned}

Therefore, the value of x that makes the equation true is:


\Large\boxed{\boxed{x=4}}

User Darckeen
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8.1k points

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