Question

complete the process of solving the equation. fill in the missing term on each line. simplify any fractions. \\(\frac{v}{-5} + 5 = -10\\) \\(\frac{v}{-5} = \square\\) subtract 5 from both sides \\(v = \square\\) multiply both sides by -5

Explanation:

Step1: Subtract 5 from both sides

Starting with the equation \(\frac{v}{-5}+5 = -10\), we subtract 5 from both sides. So, \(\frac{v}{-5}+5 - 5=-10 - 5\). Simplifying the left side, the \(+5\) and \(-5\) cancel out, leaving \(\frac{v}{-5}\). On the right side, \(-10 - 5=-15\). So, \(\frac{v}{-5}=-15\).

Step2: Multiply both sides by -5

Now, to solve for \(v\), we multiply both sides of the equation \(\frac{v}{-5}=-15\) by \(-5\). So, \(\frac{v}{-5}\times(-5)=-15\times(-5)\). The left side simplifies to \(v\) (since \(\frac{v}{-5}\times(-5)=v\)), and the right side is \(-15\times(-5) = 75\). So, \(v = 75\).

Answer:

First missing term: \(-15\), Second missing term: \(75\)