Solving Equations by Using Multiplication
| To solve equations using multiplication you can use the mutiplication property of equality. | This says that for any numbers x,y, and z, if x=y , then xz=yz. Move your mouse over here to see this shown with pictures |
| Example 1 | 5=z/14 Multiply each side by 14. 14*5=14(z/14) 70=z. Now Check. |
| Example 2 | 2 2/3z=3 2/9. This is more complicated. Change it into an improper fraction 8/3z=29/9. 8/3z*3/8=29/9*3/8. (multiply each side by 3/8, the reciprocal of 8/3) 24z/24=84/72. z=87/72 Simplify. z=29/24 or 1 5/24. |
| Practice these: z/5=7 Do you multiply by z?, 7?, or 5? Is the answer 20?, 40?, or 35? |
x/5=4/10 Do you multiply by x?, 43?, or 5? Is the answer 6?, 10?, or 2? |