Solving system of equations by graphing
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Solve each system of equations by graphing:
1). y=x-4 and y= -2x+2
2). Y=2x-3 and y=-x-6
3). Y=3x-2 and y=1/2x+5
4). Y=1/3x+1 and y=-2x+8
5). X+y=-3 and x+y=4
6). Y-x=0 and 2x+y=3
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This solution shows how to solve system of equations by graphing.
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Solve each system of equations by graphing:
1). y=x-4 and y= -2x+2
Make a table of values for line y = x - 4
x y
0 -4
4 0
The points for the line y = x - 4 are (0, -4) and (4, 0).
Make a table of values for line y= -2x+2
x y
0 2
1 0
The points for the line y= -2x+2 are (0, 2) and (1, 0).
Plot both the lines on same grid as shown below:
Red line shows the line y= -2x+2 and purple line shows the graph of line y = x - 4.
From the graph we can see that the point of intersection is (2, -2).
Thus the solution is (2, -2) OR x = 2, y = -2.
2). Y=2x-3 and y=-x-6
Make a table of values for line y = 2x - 3
x y
0 -3
3/2 0
The points for the line y = 2x - 3 are (0, -3) and (3/2, 0).
Make a table of values for line y=-x-6
x y
0 -6
-6 0
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