Find the value of Q in the following system so

luipieduq3

luipieduq3

Answered question

2021-12-02

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

Answer & Explanation

navratitehf

navratitehf

Beginner2021-12-03Added 20 answers

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

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