alleryThe solution of the pair of linear equations $0.2x + 0.3y = 1.3$ and $0.4x + 0.5y = 2.3$ is:
A$x = 2, y = 3$
B$x = 3, y = 2$
C$x = 1, y = 5$
D$x = 5, y = 1$
Answer & Solution
Correct answer: A. $x = 2, y = 3$
1. Multiply both equations by 10: $2x + 3y = 13$ and $4x + 5y = 23$.
2. Multiply the first equation by 2: $4x + 6y = 26$.
3. Subtract the second equation: $(4x + 6y) - (4x + 5y) = 26 - 23 \Rightarrow y = 3$.
4. Substitute $y = 3$: $2x + 3(3) = 13 \Rightarrow 2x = 4 \Rightarrow x = 2$.
5. Thus, $x = 2, y = 3$.
_Source: NCERT Class 10 Mathematics, Ch3 'Pair of Linear Equations in Two Variables'_
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