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Mathematics 14 Online
OpenStudy (anonymous):

Which system has a solution in which the x value is greater than one? y = 3x + 2 and y = 3x - 3 y = -2/3 x and y = -1/4 x + 1 y = 3x + 2 and y = -1/4 x + 1 y = 3x - 3 and y = -1/4 x + 1

Directrix (directrix):

@katiek3455654 Any idea which system it is?

Directrix (directrix):

Or, guess as to which option is the one.

OpenStudy (anonymous):

Directrix (directrix):

The equations in the first option have the same slope and different y-intercepts. That means that the two lines are parallel. So, there is not point of intersection from which to compare the x and y values.

Directrix (directrix):

@katiek3455654 Look at the yellow/gold line and the pink one. Can you determine what the x-coordinate of the intersection of those two lines is? Is it greater than one?

OpenStudy (anonymous):

before i answer that is the answer c?

Directrix (directrix):

Let me look. Do you know which colors the lines are? If not, I'll look.

OpenStudy (anonymous):

pink blue green and yellow

Directrix (directrix):

These two for c) y = 3x + 2 and y = -1/4 x + 1 are pink and green. They intersect to the left of (0,0) so the x-coordinate of the intersection is not greater than one. So far, options A and C are out. That leaves a choice between B and D.

Directrix (directrix):

The colors for the lines of option b are ... lemme see.

Directrix (directrix):

Pink and blue. They intersect in the second quadrant where x is negative. So, which option is left for the answer? @katiek3455654

Directrix (directrix):

The pair of lines that intersect in the first quadrant. The pink and the yellow - they are option __?__

OpenStudy (anonymous):

b?

Directrix (directrix):

These two.

Directrix (directrix):

That x has value greater than one.

Directrix (directrix):

Not b, not c.

OpenStudy (anonymous):

d?

Directrix (directrix):

Yes. The x-value of the intersection of the lines on option D is 16/13 which is greater than 1. Final Answer: D

OpenStudy (anonymous):

thank you so much!

Directrix (directrix):

Happy to help.

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