14
2x - 3 = 2x - 52x = 2x - 22x - 2x = -20 =/= -2Zero is not equal to -2 so the answer is no solution.
-8x + 12y = 24 Algebraically rearrange 12y = 8x + 24 Reduce by a factor of '4' 3y = 2x + 6 Divide both sides by '3' y = (2/3)x + 2 Hence it is a straight line of slope/gradient ' 2/3' and a y-intersect of '2'.
x = 3/5 and y = 1/5
12y + 5 = 53 12y = 48 y = 4
2x-6=7, x=?
2x + 12 y =36subtract 2x from both sides12y = 36 - 2xdivide both sides by 12y = (36 - 2x)/12
-8x + 12y = 24 Algebraically rearrange 12y = 8x + 24 Reduce by a factor of '4' 3y = 2x + 6 Divide both sides by '3' y = (2/3)x + 2 Hence it is a straight line of slope/gradient ' 2/3' and a y-intersect of '2'.
6x - 12y = 24 Algebraically rearrange -12y = -6x + 24 Multiply both sides by '-1' Hence 12y = 6x - 24 Factor out '6' on both sides. 2y = x -4 Divide both sides by '2' y = (1/2)x - 2 Hence the gradient is ' 1/2' and the y-intersect is ' - 2' .
x-intercept:2x = 24x = 12y-intercept:-3y = 24y = -8
2x - 3 = 2x - 52x = 2x - 22x - 2x = -20 =/= -2Zero is not equal to -2 so the answer is no solution.
x = 3/5 and y = 1/5
y=2x-4 y=2x-5 y=1 1=2x-4 -2x = -5 x=2/5 the solution is (x,y) = (2/5,1)
12y + 5 = 53 12y = 48 y = 4
2x-6=7, x=?
2x - y = 2 2x - y = -2 This system is inconsistent -- that is, there is no solution. To help see why, let Z = 2x - y and notice Z can't be 2 and -2 at the same time.
X=14
That is an example of a wrong solution :]