1. Graphical Solution of Simultaneous Equations1 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x y
Solutions
x = 7, y = 6
Simultaneous Equations can be solved using a graphical method if needed.
(7,6)
Each equation should be rearranged in the form y = mx + c then plotted on a grid.
The co-ordinates of the point of intersection of each line give the solutions to the equations.
2x – y = 8
x – y = 1 
Solve
Example 1
y = 2x - 8
y = x - 1

2. Graphical Solution of Simultaneous Equations1 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x y
Simultaneous Equations can be solved using a graphical method if needed.
Solutions
x = 3, y = 7
(3,7)
Each equation should be rearranged in the form y = mx + c then plotted on a grid.
The co-ordinates of the point of intersection of each line give the solutions to the equations.
-2x + y = 1
x + y = 10 
Solve
Example 2
y = 2x + 1
y = -x + 10

3. Graphical Solution of Simultaneous Equations1 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x y
Simultaneous Equations can be solved using a graphical method if needed.
Solutions
x = 1, y = 4
Each equation should be rearranged in the form y = mx + c then plotted on a grid.
(1,4)
The co-ordinates of the point of intersection of each line give the solutions to the equations.
-x + y = 3
2x + y = 6 
Solve
Question
y = x + 3
y = -2x + 6

4. Use the graphs to solve the following simultaneous equations.1 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x y
Graphical Solution of Simultaneous Equations
x – y = 2
x + 2y = 14
2x + y = -8
y = x + 7
y = 3x - 10
Use the graphs to solve the following simultaneous equations.
1. x - y = 2 and 2x + y = - 8
2. x + 2y = 14 and y = x + 7
3. y = 3x and x – y = 2
4. 2x + y = - 8 and y = x + 7
5. y = x + 7 and x + 2y = 14
x = -2, y = - 4
x = 0, y = 7
x = 4, y = 2
x = -5, y = 2
x = 0, y = 7