Check whether the following system of equations is consistent or not. If consistent, solve graphically x - 2y + 4 = 0,…

CBSE Class 10 Maths PYQ · Linear Equations · Types of solutions · 3 Marks · March 2025 · Standard

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603 Marks · March 2025 · Standard
Check whether the following system of equations is consistent or not. If consistent, solve graphically $x - 2y + 4 = 0, 2x - y - 4 = 0$.
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$\frac{a_1}{a_2} = \frac{1}{2}; \frac{b_1}{b_2} = \frac{-2}{-1} = 2$. $\frac{a_1}{a_2} \neq \frac{b_1}{b_2}$. $\therefore$ System of equations is consistent. Correct graph. Solution is $(4, 4)$ or $x = 4$ and $y = 4$.
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