Which of the pairs (1, 4), (2, 2) and (0, 5) is a solution of 4x + y = 8?
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
- Which of the pairs , and is a solution of ?
- Find the value of that makes a solution.
Need a reminder? The key ideaShow
A linear equation in two variables, , has infinitely many solutions . To test a pair, put it in the equation and compare the two sides.
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.
Step 1. Test the pairs. : , a solution. : , no. : , no.
Step 2. Part (b). , so and .
Answer: only ; .
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