Consider the straight lines \(y=2x-3\) and \(x+y=6\).
Copy and complete the following tables of values of \(x\) and \(y\) for the equations \(y=2x-3\) and \(x+y=6\).
For the equation \(y=2x-3\):
| \(x\) | \(-1\) | \(2\) | \(5\) |
|---|
| \(y\) | | | |
For the equation \(x+y=6\):
| \(x\) | \(-1\) | \(2\) | \(5\) |
|---|
| \(y\) | | | |
On the grid provided below, using a scale of 1 cm to represent 1 unit on both axes, draw and label the graphs of \(y=2x-3\) and \(x+y=6\) for \(-1\leq x\leq5\).
Hence, solve the simultaneous equations \(y=2x-3\) and \(x+y=6\) graphically.