Pair of Linear Equations in Two Variables
CBSE 2026 Board Exam Set 3 (Code 30/1/3)
CBSE_BOARD_PYQ_2026_30_1_3
Grade 10
Question:
[Section B]
Solve the pair of linear equations by elimination method:
$x + y = 5$ and $2x - 3y = 4$.
Step-by-Step Solution
Key Concept: Multiply first equation by 3 and add to second.
Multiply $x+y=5$ by $3$: $3x+3y=15$. Add to $2x-3y=4$: $5x = 19 \Rightarrow x = 19/5$. Substitute $x$: $y = 5 - 19/5 = 6/5$. [2.0 Marks]
Correct Answer: x = 19/5, y = 6/5
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.