Question

$2x - y = 4 \\ 4x - 2y = 6 \: system \: ofequatins$
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Answer 1

2x-y = 4 ——-(1)
4x-2y= 6 ———(2)

(1) = -y = 4-2x
y = 2x-4 —-(3)


substitute (3) in (2)

4x-2(2x-4) = 6
4x -4x + 8 = 6
8 is not equal to six


hence the equations do not have a solution , therefore the pair of solutions are inconsistent, and can be represented as a pair of parallel lines in a graph