2x - 3y = 6 2x = 6 + 3y 2x - 6 = 3y : 3y = 2x - 6 y = 2/3x - 2
5x -3y = -6 -3y = -5x -6 y = 5/3x+2 in slope intercept form
2x - 3y = 62x = 3y + 63y = 2x - 6y = (2x - 6)/3y = (2/3)x - 2
4x+3y = 6 3y = -4x+6 y = -4/3x+2 in slope intercept form
2x=3yx=3y-32(3y-3)=3y substitution6y-6=3y distributive property3y=6 addition property of equalityy=2 multiplication(division) property of equalityx=3(2)-3 substitutionx=6-3x=3
-x + 3y = 6 3y = x 6 y = x/3 + 2 So slope = 1/3 and intercept = 2
x + y = 6 so that -x = y - 6 -x + 3y = -2 that is, y - 6 + 3y = -2 or 4y = 4 or y = 1 and then -x = y - 6 = -5 so that x = 5
x = 5 y = 2 4x - 3y = ? 4(5) - 3(2) = ? 20 - 6 = 14
9x+3y = 6 3y = -9x+6 y = -3x+2 which is now in slope-intercept form
-3X + 3Y = 6 3Y = 3X + 6 Y = X + 2 slope(m) = 1 Y intercept = 2 Another way to find Y intercept is to 0 out X in first equation -3(0) + 3Y = 6 3Y = 6 Y = 2
Yes.
y=2