Solve 5x + 3y = 31 and 2x - 3y = 4 by elimination.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Solve and by elimination.
Need a reminder? The key ideaShow
Substitution: write one variable in terms of the other and put it into the second equation. Elimination: add or subtract the equations, after multiplying if needed, so that one variable cancels. Check the answer in both equations.
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. Add. , so .
Step 2. Find . , so and .
Step 3. Check. and .
Answer: , .
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