CBSE Class 10 Mathematics Standard 2024: question 28

Hints

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Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

1. For $x-y+1=0$, i.e. $y=x+1$, make a table of points: $(0,1)$, $(-1,0)$, $(2,3)$. Plot them on graph paper and join them to get line $l_1$.

   1 mark

2. For $x+y=5$, i.e. $y=5-x$, make a table of points: $(0,5)$, $(5,0)$, $(2,3)$. Plot them on the same axes and join them to get line $l_2$.

   1 mark

3. The two lines intersect at the point $(2,3)$. Check: $2-3+1=0$ and $2+3=5$. So the solution is $x=2$, $y=3$.

   1 mark

Answer: x = 2, y = 3

Revise the chapter

• Chapter: Pair of Linear Equations in Two Variables (notes, formulas, where marks are lost and every past question)
• Topic: Graphical Method of Solving Linear Equations