Graphical Solution of Simultaneous Equations 1 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

Graphical Solution of Simultaneous Equations 1 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

Graphical Solution of Simultaneous Equations 1 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

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 - 10 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