LINEAR EQUATIONS.... HELP!!!!!?

Posted on 2015-09-21 06:13:00 in Math by JIMMY

The question is:
Given that 3x+4y-7=0 find another linear equation, that when it is represented geometrically the lines so formed are: 1) intersecting 2) parallel.

I do know that a1/a2 not equal to b1/b2 is the consistency rule for intersecting lines and a1/a2= b1/b2 not equal to c1/c2 the rule for parallel lines, but I am having trouble in how to form a proper pair of linear equations that fufills the given condition. Pls also tell how to find the other linear equation with similar conditons as these when a linear equation is given.

I tried 5x+8y=21 and also 4x+3y=8, but neither can I get a unique solution nor the lines on the graph ever intersect.

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