Problem 11 of 35alg-011
For what value of does the system of equations and have no solution?
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The walkthrough opens once you check an answer.
Solution walkthrough2:02
- A solution is a point on both lines. No solution means the lines never meet: they are parallel.
- Solve each equation for to read the slopes: for the first line and for the second.
- Parallel lines have equal slopes: . Multiply both sides by : , so .
- Check : tripling gives , but the first line says .
- Traps: with or the lines still cross, and makes them perpendicular.