6x-y=-14 2x-3y=6
2x-11
2x - 3y = 62x = 3y + 63y = 2x - 6y = (2x - 6)/3y = (2/3)x - 2
2x + 3y = 9x = 3, y = 1 therefore 6 + 3 = 9
2x+3y = 6 2x+3(0) = 6 2x = 6 x = 6/2 x = 3
2x - 3y = 6 2x = 6 + 3y 2x - 6 = 3y : 3y = 2x - 6 y = 2/3x - 2
6x-y=-14 2x-3y=6
Collect like terms: 2x + 3y + 3y - 5 - 6 2x + 6y - 11
2x-11
2x - 3y = 62x = 3y + 63y = 2x - 6y = (2x - 6)/3y = (2/3)x - 2
2x + 3y = 9x = 3, y = 1 therefore 6 + 3 = 9
2x+3y = 6 2x+3(0) = 6 2x = 6 x = 6/2 x = 3
Yes and it works out that x = 3 and y = 4
6x - 3y = 6 y= 2x + 5 replace 2x + 5 for y into the first equation 6x - 3y = 6 6x - 3(2x + 5) = 6 6x - 6x - 15 = 6 0 - 15 = 6 -15 = 6 False So the system has no solution.
2x + 3y = 6 can be written in the standard slope-intercept form of y= mx + c, where 'm' is the slope. 3y = -2x + 6 y = -⅔x + 2 The slope of this linear graph is -⅔.
y = 4, x = 6
2x + 3y + 6 = 0Subtract (2x + 6) from each side:3y = -2x - 6Divide each side by 3:y = -(2/3)x - 2Slope = -(2/3)Y-intercept = -2