Question

What is the solution to the system of equations?

6x – 9y = 16
2x – 3y = 7
A) (5, 1)
B) (2, -1)
C) (3,
2
9
)
D) no solution

Answer 1

no solution

Explanation:

[1] 6x - 9y = 16

[2] 2x - 3y = 7

// Solve equation [2] for the variable x

[2] 2x = 3y + 7

[2] x = 3y/2 + 7/2

// Plug this in for variable x in equation [1]

[1] 6•(3y/2+7/2) - 9y = 16

[1] 0 = -5 => NO solution

No solution