Well, darling, the variable in the expression 6 + 3x + 2y is actually "x" and "y." The numbers 6, 3, and 2 are just coefficients hanging out with the cool kids. So, if you're looking for the variables, look no further than x and y.
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3x-2y=6 -2y=-3x+6 y=1.5x-3
3x+2y=6 2y=-3x+6 y=-1.5x+3
-3x + 2y = 12-3x + 3x + 2y = 3x + 122y = 3x + 122y/2 = 3x/2 + 12/2y = (3/2)x + 6
The answer is -5x + 2y. The terms with the same variable are combined by adding or subtracting their coefficients, and then the result is written with the corresponding variable. In this case, -3x and -2x combine to give -5x, and 4y and -2y combine to give 2y.
2y = 3x-6 y = 1.5x-3 in slope intercept form