AlgebraFind the value of Q in the following system
3 months ago
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
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Best Answer
_Sike_ Staff answered 3 months ago
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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