### Home > INT3 > Chapter 7 > Lesson 7.2.5 > Problem7-112

7-112.

Solve each of the following equations for the indicated variable. Homework Help ✎

1. $5x – 3y = 12$ for $y$

Isolate $y$ on one side of the equation.
You can leave coefficients in fraction form.

1. $F=\frac{Gm_1m_2}{r^2}$ for $m_{2}$

$m_{2} = \frac{Fr^2}{Gm_1}$

1. $E=\frac{1}{2}mv^2$ for $v$

Start by multiplying by $2$ and dividing by $m$.

1. $\left(x – 4\right)^{2} + \left(y – 1\right)^{2} = 10$ for $y$

$(y-1)^2=10-(x-4)^2$

$y-1=\pm\sqrt{10-(x-4)^2}$

$y=\pm\sqrt{10-(x-4)^2}+1$