Question

Find the value of Q in the following system so that the solution to the system

is {(x,y) : x – 3y = 4} x - 3y=4
2x + Qy=8

Answer 1

Q = -6

Explanation:

If the solution of the system of equations is {(x, y): x - y = 4} - infinitely many solutions, then this system is consistent and dependent.

x - 3y = 4 multiply both sides by 2

2x - 6y = 8

Therefore Q = -6