Question

The difference of two numbers, a and b, is 21. The difference of 5 times a and two times bis 18. What are the values of a and b?

4,1
-19,40
20,1
30,9
-8,-29

Answer 1

Answer:

-8,-29

Step-by-step explanation:

a - b = 21  --------------------------Equation 1

5a - 2b = 18  ----------------------Equation 2

From Equation 1, a = 21 + b

Putting the values of a in Equation 2 we get;

5(21 + b) - 2b = 18

105 + 5b - 2b = 18

3b = 18 - 105

b = -87 / 3

b = -29

Putting the values of b in Equation 1 we get;

a = 21 + (-29)

a = 21 - 29

a = -8