Question

Find the values of a and b so that the linear system has the given solution.

Given Solution: (2, 1)
Equation 1: ax - by'= 4
Equation 2: bx - ay = 10

Answer 1

a = 6, b = 8

Explanation:

given (2,1)

2a - 1b = 4

-1a + 2b = 10

this gives us:

a + b = 14

solve for a

a = 14 - b

plug into first equations

2(14-b) - b = 4

28 - 2b - b = 4

28 - 3b = 4

24 = 3b

b = 8

now plug b back into your equation for a, and you get:

a = 14 - 8

a = 6