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

5-29.

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

5

*x*− 3*y*= 12 for*y*for *m*_{2}^{}for*m*(

*x*− 4)^{2}+ (*y*− 1)^{2}= 10 for*y*

Remember the strategies for solving algebraically.

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

(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}.

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

To undo multiplication by *Gm*_{1} divide both sides by *Gm*_{1}.

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.