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
Qx - 6y = 8

1 Answers

Best Answer

In order for a system of equations to have infinite solutions (i.e. a solution set that can be described as an equation in terms of x and y), the equations must be equivalent. Thus, we need to find some Q such that the second equation is a multiple of the first.
If we multiply the first equation by 2, we find get 2x - 6y = 8, which matches the second equation. Therefore,
Q=2