Question

A+b=95
4a+1.50b=267.5

Answer 1

9514 1404 393

Answer:

• a=50
• b=45

Explanation:

We can subtract the second equation from 4 times the first:

4(a +b) -(4a +1.5b) = 4(95) -(267.5)

2.5b = 112.5 . . . . . simplify

b = 45 . . . . . . . . . . divide by 2.5

a = 95 -b = 50 . . . find 'a'

The solution is (a, b) = (50, 45).