Question

Find the values of a and b so that the solution of the linear system is (5,2)

ax+by=23
ax-by=7

Answer 1

Answer: a = 10 and b= 4

Explanation:

x =5 y = 2

5a + 2b = 23-------(1)

5a - 2b = 7---------(2)

(1) -(2)

4b = 16

b = 16/4

b = 4

also, (1) + (2)

10a =30

a = 30/10

a = 3