2x+3y=13 3x-y=3 x=2
If: 2x-3y = -15 and x = 4y Then: x = -12 and y = -3
x = 3y x - 3y = 3y - 3y x - 3y = 3y - 3y x - 3y = 0
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 - 2y = 04x - 3y = 15From the first equation, x = 2y.SUBSTITUTING this value of x in the second equation,4*(2y) - 3y = 15 ie 8y - 3y = 15 or 5y = 15 so that y = 3and then, x = 2y gives x = 2*3 = 6Answer: x = 6, y = 3
y = 4, x = 6
x-3y+9=0 So x+9=3y So x/3+3=y That means y= x/3+3 Of course you still don't know what y is, except in terms of x.
2x=3y The ratio of x:y is 3:2 as there are three xs in two ys.
2x+3y=13 3x-y=3 x=2
(3, 2) because x = 3 and y = 2
If: 2x-3y = -15 and x = 4y Then: x = -12 and y = -3
second equation x 2: 4x + 6y = 4 subtract first equation: 9y = 3 so y = 1/3 and x = 1/2
x-3y = 9 -3y = -x+9 y = 1/3x -3 Perpendicular slope = -3
x = 3y x - 3y = 3y - 3y x - 3y = 3y - 3y x - 3y = 0
Add the two equations together. The x disappears. 2y - x = 3 + x = 3y - 5 ------------------------ 2y = 3y -2 Can you finish it from there?
x-3y=3 is the same as -3y=-x+3 and now divide by -3 and you have y=(1/3)x-1 which is the slope intercept form.
-x + 3y = 6 3y = x 6 y = x/3 + 2 So slope = 1/3 and intercept = 2