x = 3 and y = 0
2x + 3y = 12 x = 1.45, so 2 * 1.45 + 3y = 12 2.9 + 3y = 12 3y = 12 - 2.9 = 9.1 y = 9.1/3 = 3.0333... or 91/30 or 3 1/30.
The slope is -1. 3x+3y=12 Subtract 3x 3y=-3x+12 Divide by 3 y=-x+4
x = 3 and y = 2
7y = 3y - 12 4y = -12 y = -3
x = 3 and y = 0
2x + 3y = 12 x = 1.45, so 2 * 1.45 + 3y = 12 2.9 + 3y = 12 3y = 12 - 2.9 = 9.1 y = 9.1/3 = 3.0333... or 91/30 or 3 1/30.
(3, 2) because x = 3 and y = 2
perpendicular
The slope is -1. 3x+3y=12 Subtract 3x 3y=-3x+12 Divide by 3 y=-x+4
x = 3y - 3 so 6 (3y - 3) + 2y = -12 ie 18y - 18 + 2y = -12 ie 20y = 6 so y = 0.3 and x = -2.1
x = 3 and y = 2
7y = 3y - 12 4y = -12 y = -3
-8x+3y=12 3y = 8x+12 y = (8/3)x + 4 So it will be a line with slope 8/3 and y intercept of 4
x = 3 and y = 2 so the lines intersect at the point (3, 2)
(3,3)
3y - 3 = 2y + 5 3y - 2y = 5 + 3 y = 8