2y = -3x + 5
x = y + 3
Graph the lines by getting points, any of these
on the first line
(-1,4), (1,1), (3,-2), (5,-5)
and getting points, any of these on the second line:
(-1,-4), (0,-3), (1,-2), (2,-1), (3,0)
Where the lines cross didn't happen to hit any of the points we
plotted, so we draw a vertical and a horizontal line to the x and
y axes:
The green line to the x-axis hits the x-axis at about two-tenths of the
way from 2 toward 3, so I'll guess the x-coordinate to be 2.2
The green line to the y-axis hits the y-axis at about eight-tenths of the
way from 0 down toward -1, so I'll guess the y-coordinate to be -0.8
Answer: they cross at (2.2,-0.8) so x = 2.2, y = -0.8
Checking:
2y = -3x + 5 x = y + 3
2(-0.8) = -3(2.2) + 5 2.2 = (-0.8) + 3
-1.6 = -6.6 + 5 2.2 = -0.8 + 3
-1.6 = -1.6 2.2 = 2.2
So we have the right solution.
Edwin
