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I guess your two equations are:
- 4x - 6y = 2
- 2x + 3y = 12
Since the plus (+) and equals (=) signs have been stripped from your question.
If this is the case, then they are not parallel since their gradients are not the same.
Without working them out exactly, it can be seen that one is positive (equation 1.) and the other is negative (equation 2.):
- 4x - 6y = 2 ⇒ 6y = 4x - 2 ⇒ +ve gradient
- 2x + 3y = 12 ⇒ 3y = -2x + 12 ⇒ -ve gradient
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Are lines y equals 2x and y 2x equals 3 perpendicular or parallel?
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Which equation represents a line that is parallel to the line y equals 3-2x?
5
