Question

Math

Posted 5 months ago

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How can I figure out...Find the value of $2 \mathrm{v}+7$ given that $-3 \mathrm{v}-1=5$
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Answer from Sia

Posted 5 months ago

Solution by Steps

step 1

Solve the equation $-3v - 1 = 5$ for $v$

step 2

Add $1$ to both sides: $-3v - 1 + 1 = 5 + 1$ which simplifies to $-3v = 6$

step 3

Divide both sides by $-3$: $v = \frac{6}{-3}$ which simplifies to $v = -2$

step 4

Substitute $v = -2$ into $2v + 7$: $2(-2) + 7$

step 5

Simplify the expression: $2(-2) + 7 = -4 + 7 = 3$

Answer

The value of $2v + 7$ given that $-3v - 1 = 5$ is $3$.

Key Concept

Solving linear equations

Explanation

To find the value of $2v + 7$, we first solve the given linear equation for $v$ and then substitute the value of $v$ into the expression.

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