Pair of Linear Equations in Two Variables Practice

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Practice Questions

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Q1.
Solve x + y = 3 and 3x - 2y = 4.
Q2.
For what value of k does x + 2y = 5 and 3x + ky = 15 have infinitely many solutions?

Quick Q&A Before You Revise

When should I use substitution instead of elimination?

Use substitution when one variable can be isolated quickly. Use elimination when coefficients can be matched easily by multiplying the equations.

How do I know whether a pair has no solution?

If a1/a2 = b1/b2 but c1/c2 is different, the two lines are parallel and the system has no solution.

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