# SOLUTION: Find the solution by graph: 4x-20=5y 8x-10y=12

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 Click here to see ALL problems on Linear-equations Question 62961: Find the solution by graph: 4x-20=5y 8x-10y=12Answer by Edwin McCravy(8904)   (Show Source): You can put this solution on YOUR website!```Find the solution by graph: 4x-20=5y 8x-10y=12 We make a table of values for each equation: For 4x - 20 = 5y, we pick arbitrary values for one variable and solve for the other x | y | (x, y) ----------------------- -10 | -4 | (-10, 4) -5 | 0 | (-5, 0) 0 | 4 | (0, 4) 5 | 8 | (5, 8) 10 | 12 | (10, 12) Plot those 5 points and draw a red line through them: For 8x - 10y = 12, we pick arbitrary values for one variable and solve for the other x | y | (x, y) ------------------- -11 |-10 |(-11, -10) -6 | -6 | (-6, -6) -1 | -2 | (-1, -2) 4 | 2 | (4, 2) 9 | 6 | (9, 6) 15 | 16 | (15, 16) Plot those 6 points on the same set of axes and draw a green line through them: Now to find the solution we would have to find a point where the red and green lines cross. However this is impossible because the two lines are parallel and do not cross. Therefore there is no solution. We call such a system "inconsistent". Edwin```