So I have this question on my revision sheet for an upcoming test on simulataneous equations and linear relations. We haven’t learnt anything about this in class, so my attempt was pretty pitiful. I basically rearranged the first equation, 2x-3=y into 2x-y=3, to mirror the standard form of ax+y=2. But I have no idea what to do after this step.
2026-03-31 21:10:22.1774991422
For what values of a when 2x – 3 = y and ax + y = 2 intersects? When they don’t intersect, what are the lines doing?
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Find slopes of your lines. If slopes are equal they do not intersect unless they are identical.
If slopes are different, they intersect.
Since one of your slopes is in terms of $a$ you can find the values of $a$ for which lines intersect.