Can you give me some guidance how to solve the simultaneous equations: |
Each of the equations can be represented by a straight line.
If you draw both straight lines on the same graph, you should find that they cross.
The point where they cross is on both straight lines, so the x and y
co-ordinates will satisfy both equations.
In other words:
The co-ordinates of the point where the lines cross |
You could use a table to help you plot the line y = 4x - 1:
x | -1 | 0 | 1 | 2 |
y | -5 | -1 | 3 | 7 |
And for the line y = 3 - x:
x | -1 | 0 | 1 | 2 |
y | 4 | 3 | 2 | 1 |
Plot both lines on the same axes. Part of the graph is shown below.
If you draw an accurate graph you will discover that the lines cross at the point
( 0.8 , 2.2 )
So the solution to the simultaneous equations is:
x = 0.8 |