If you mean: 2x-3y = 7 then y = 2/3x-7/3 whereas 2/3 is the slope and -7/3 is the y intercept of the straight line.
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I think you are asking for a simplifaction of 2x-3y-2y-4x=24 If so, combine like terms and we have -2x-5y=24. This is an equation of a line and there are infinite solutions. The solutions are all the points on the line.
2x - 3y = 6 2x = 6 + 3y 2x - 6 = 3y : 3y = 2x - 6 y = 2/3x - 2
The quotient of 2x and 3y is = 6xy
The y-intercept is -5. 2x - 3y = 15 -3y = -2x + 15 y = 2/3x - 5 the y-intercept is the number in slope intercept form that does not have a variable, the minus sign makes the intercept negative.
If you mean 2x-3y=12 you... Solve for Y.Move the -3y over because it has the Y in it. -3y=2x+12Divide the other side by -3 (2 Divided by -3=0.6 but you will want -2/3)(12 Divided by -3=-4)Should look like this:Y=-2/3 - 4The Y Intercept=-4 and the Slope=-2/3 if your doing graphing.