Aaliyah L.

asked • 09/12/14

Algebra 2 practice

Find the value of q in the following system so that the solution to the system is {(x,y) : x - 3 = 4}
x - 3y = 4
2x - 6y = Q
 
Please Help I do not understand.

David W.

tutor
Aaliyah, I am not going to help you on a quiz.  If it were just homework, I'd be glad to help, but this would be cheating in my mind.
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09/12/14

Aaliyah L.

This is not a quiz I did not know what to name the question this is actually practice for the quiz so this is basically homework/practice I really do need help I do not understand. 
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09/12/14

2 Answers By Expert Tutors

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Phillip R. answered • 09/12/14

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David W.

tutor
" The solution to the system is {(x,y) : x - 3y = 4} " reads "The solution to the system is all of the points (x,y) such that x-3y=4" ... Note the typo of leaving y out of that expression. If and only if Q=8 are these two equations the same line. So, when Q=8, there are an infinite number of solutions (x,y) and each of them obeys the formula "x-3y=4." ... For all other values of Q, the answer is different (either parallel lines or lines that intersect at exactly one point (x,y).
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06/27/19

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