### Home > A2C > Chapter 5 > Lesson 5.1.2 > Problem 5-29

5-29.

Solve each of the following equations for the indicated variable.

for Remember the strategies for solving algebraically.

To undo multiplication by 3, divide each term by 3.

for *m*_{2}To undo division by

*r*^{2}, multiply both sides by*r*^{2}.To undo multiplication by

*Gm*_{1}divide both sides by*Gm*_{1}.^{E = \frac { 1 } { 2 } m v ^ { 2 }}for*m*(which is the same as dividing by 2), multiply both sides by 2.

To undo multiplication by

*v*^{2}, divide both sides by*v*^{2}.(

*x*− 4)^{2}+ (*y*− 1)^{2}= 10 for*y*To undo addition of (

*x*− 4)^{2}, subtract (*x*− 4)^{2}from both sides.To undo squaring, take the square root of both sides. (Remember ±.)

To undo subtracting 1, add 1 to both sides. Remember to put it outside the radical sign.