MediumMathematicsHigh School (9–10)AlgebraNumerical

Make a table of values for x + y = 6 and another for x - y = 2, using whole numbers x = 0 to 6…

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

Make a table of values for $x + y = 6$ and another for $x - y = 2$ , using whole numbers $x = 0$ to $6$ . Draw both lines on graph paper and read off the solution of the pair.

Need a reminder? The key ideaShow

The graph of a linear equation in two variables is a straight line, and every point on it is a solution. A solution of a pair is a point on both lines: it fits both equations. Put the numbers into both equations to check. For fares, write each fare as $y = \text{start} + \text{rate} \times x$ and make the two equal.

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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