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

x - 3y = 4

2x - 6y = Q

Please Help I do not understand.

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## 2 Answers By Expert Tutors

Phillip R. answered • 09/12/14

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x - 3y = 4

2x - 6y = Q

2x - 6y = Q

you use the elimination method. To start, multiply the first equation by 2

2x - 6y = 8

2x - 6y = Q

2x - 6y = Q

Because the left side of both equations is the same, the right side of both equations must also be the same.

Therefore Q = 8

Because the equations are identical, we really have only one equation so there are an infinite numbers of solutions (x,y).

I'm not sure what the bit about x - 3 = 4 means.???????

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).
Report

06/27/19

OK, I will believe you that this is not a quiz.

What is the value of x if x - 3 = 4?

Since you have a value of x, substitute it in the first equation to find the value of y, then use both values in the third equation to find the value of q.

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David W.

09/12/14