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Mathematics 22 Online
OpenStudy (anonymous):

Write both equations in the slope intercept form. How many solutions the system will have? 2x + 3y = 12 4x + 6y = 15 A. one solution B. two solutions C. three solutions D. no solution I picked D is this correct?

hero (hero):

Yes, correct. You don't have to put it in slope-intercept form to see this, however.

hero (hero):

If you divide both sides of the second equation by 2, then you would have 2x + 3y = 7.5

hero (hero):

Then we clearly see that no two points would make both equations true.

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