Yes it is a function.
5x + 4y = 0
the same as:
5x = -4y
You can also solve for either variable.
x = - ( 4 / 5 ) y
y = - ( 5 / 4 ) x
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10x + 2y + 8z - 5x + 4z - 4y = 10x - 5x + 2y - 4y + 8z + 4z = (10 - 5)x + (2 - 4)y + (8 + 4)z = 5x - 2y + 12z
2x + 3y = 17 3x + 4y = 24 (2x + 3x) + (3y + 4y) = (17 + 24) 5x + 7y = 41
5x+4y = 20 4y = -5x+20 y = -5/4x+5 Therefore: slope is -5/4 and intercept is 5
x+2y = -1 and 5x-4y = 16 Solving the simultaneous equations gives: x = 2 and y = -1.5