Show graphically that each one of the following systems of equations has infinitely many solutions:
$2 x + 3 y = 6$
$4 x + 6 y = 12$

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Solution

These two lines infinite number of solutions as they both coincide since they have same Slope, same x-intercept and same y-intercept

Therefore, both lines coincide and have infinite solutions

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Similar questions

2 x + 3 y = 6 4 x + 6 y = 12

Show graphically that each of the following given systems of equations is inconsistent.i.e., has no solution:

$2 x + 3 y = 4, 4 x + 6 y = 12.$

2 x + y = 6, 6 x + 3 y = 18

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