An equation with an infinite number of solutions eg:
x = 1, y = 17,
x = 17, y = 57,
x = -3, y = 4
Solutions for y will be in whole numbers when x is odd.
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Multiply the bottom equation by -1
If: 3x+2y = 5x+2y = 7 Then: 3x+2y = 7 and 5x+2y = 7 Subtract the 1st equation from the 2nd equation: 2x = 0 or x = o By substitution: x = 0 and y = 3.5
10x + 2y + 8z - 5x + 4z - 4y = 10x - 5x + 2y - 4y + 8z + 4z = (10 - 5)x + (2 - 4)y + (8 + 4)z = 5x - 2y + 12z
(1, 0)
x = 3 and y = 2