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Question

the lines 2(x-y) = 3, 6x +5 = 6y are parellel, state true or false

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Solution

The given system of equations is : 2x-y = 32x - 2y - 3 = 0 ...16x - 6y + 5 = 0 ....2Comparing the above equations with a1x+b1y+c1 = 0 and a2x+b2y+c2 = 0, we geta1 = 2; b1 = -2; c1 = -3a2 = 6; b2 = -6; c2 = 5Now, a1a2 = 26 = 13b1b2 = -2-6 = 13c1c2 = -35Since, a1a2 = b1b2c1c2Hence, the lines represented by given equations are parallel to each other.

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