Solving simultaneous equations graphically

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Solving simultaneous equations graphically
2
y 2x 1y 4 - x
The Question

• Solve the simultaneous equations graphically.

3
y 2x 1 y 4 - x
Begin by constructing a table of values
y 2x 1
-2
0
2
4
-3
1
5
9
Now fill in the rest of the table
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y 2x 1 y 4 - x
Use the table to draw the graph of the equation.
y 2x 1
y 2x 1
5
y 2x 1 y 4 - x
Now construct a second table of values
Y 4 - x
6
4
2
0
Plot this line on the axes you used earlier...
6
y 4 - x
y 2x 1
The solution is where the 2 lines cross
Read the x-value from the x-axis...
1
Now read off the y-value...
3
7
So the solution of y 2x 1 and y 4 - x is...
y 3
x 1
and