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Pair of Linear Equations in Two Variables
CH03 Question Bank
CBSE_CH03_QUESTION_BANK
Grade 10
Question:
Solve by elimination: $3x-5y=4$ and $9x-10y=2$.
Step-by-Step Solution
Key Concept: Scale the first equation to match a coefficient, then subtract.
Multiply the first equation by $2$: $6x-10y=8$. Subtracting the second equation ($9x-10y=2$) from this: $6x-10y-(9x-10y)=8-2\Rightarrow -3x=6\Rightarrow x=-2$. [1.0 Mark]
Substituting into $3x-5y=4$: $-6-5y=4\Rightarrow y=-2$. So $x=-2,\ y=-2$. [1.0 Mark]
Correct Answer:
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