SOLUTION: Solve the systems of equations graphically {4x-3y=-4 {2x-5y=-4

Question 58649This question is from textbook
: Solve the systems of equations graphically
{4x-3y=-4
{2x-5y=-4 This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In order to solve this graphically we have to plot the graphs.
Arrange the equation in the "y=" format
4x - 3y = -4
-3y = -4 - 4x
3y = 4x + 4, multiplied equation by -1, y should be positive
y = (4/3)x + (4/3)
:
Find the value of y by substituting for x:
x | y
-2 | -(4/3)
-1 | 0
0 | +(4/3)
+1 | +(8/3)
+2 | +4
Plot these on a graph: x axis 4/-4 and y axis 4/-4 will work ok
:
Do the same with the 2nd equation:
2x-5y=-4
-5y = -4 - 2x
5y = 2x + 4
y = (2/5)x + (4/5)
:
Find the value of y by substituting for x:
x | y
-2 | 0
-1 | +(2/5)
0 | +(4/5)
+1 | +(6/5)
+2 | +(8/5)
Plot this on the same graph, it should look like this(green is 2nd equation):

:
The solution is the x,y values where the lines cross. YOu can see it is not
going to be an integer. I solved using elimination, got x = -(4/7) y = +(4/7)
which looks about right

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