Two mark example problems I — task. Mathematics State Board, Class 9.

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1. Check whether \((5,-1)\) is a solution of the simultaneous equations \(x - 2y = 7\) and \(2x + 3y = 7\).

Proof:

\(x - 2y = 7\) ---- (\(1\))

\(2x + 3y = 7\) ---- (\(2\))

Substitute \(x =\) and \(y =\) in equations (\(1\)) and (\(2\)).

From (\(1\)), LHS RHS.

From (\(2\)), LHS RHS.

Since LHS RHS in both the equations, then \((5,-1)\) is .

2. Solve the system of linear equations \(x + 3y = 16\) and \(2x - y = 4\) by substitution method.

Answer:

\(x =\)

\(y =\)

Did you find an error?

5. Two mark example problems I