Question

linear equations
solving a two-step equation with signed decimals
solve for v.
-2.1 + \\(\frac{v}{7}\\) = -24.5
v = \\(\square\\)

Explanation:

Step1: Add 2.1 to both sides

To isolate the term with \( v \), we add \( 2.1 \) to both sides of the equation \( -2.1 + \frac{v}{7} = -24.5 \). This gives us \( \frac{v}{7} = -24.5 + 2.1 \). Calculating the right - hand side: \( -24.5+2.1=-22.4 \). So, \( \frac{v}{7}=-22.4 \).

Step2: Multiply both sides by 7

To solve for \( v \), we multiply both sides of the equation \( \frac{v}{7}=-22.4 \) by \( 7 \). Using the property of equality, if \( \frac{v}{7}=-22.4 \), then \( v=-22.4\times7 \). Calculating \( -22.4\times7=-156.8 \).

Answer:

\( v = - 156.8 \)