The point (2, 3) lies on the line 5x + ky = 19. Find k.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
The point lies on the line . Find .
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. Put the point in. , so .
Step 2. Solve for . , so .
Answer: . The line is .
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