Question

Write an equation and solve for the variable indicated?

9. Ten plus eight times a number a equals eleven times another number d minus six. Solve for a.

10. Three fourths of a number p less two is five sixths of another number r plus five. Solve for r

Answer 1

10 + 8a = 11d - 6....solving for a
8a = 11d - 6 - 10
8a = 11d - 16
a = (11d - 16) / 8 or a = 11/8d - 2 <==

3/4p - 2 = 5/6r + 5...solve for r
3/4p - 2 - 5 = 5/6r
3/4p - 7 = 5/6r
6/5(3/4p - 7) = r
9/10p - 42/5 = r <===