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Some Important Questions For CBSE Class 10 Students

1. Solve graphically 5x+2y=16, 7.5x+3y=24 (4)

2. Determine graphically the coordinates of the vertices of the triangle, the
equations of whose sides are: y = x, 3y = x, x + y = 8 (4)

3. Solve graphically x – y = 10, 2x – 5y = 5 (4)

4. For what value of k will the equations x + 2y + 7 = 0, 2x + ky + 14 = 0 have one
solution. (3)

5. Solve 4x + 6y = 3xy, 8x + 9y = 5xy given (x ¹ y, x ¹ 0) (3)

6. Solve given (x ¹ y, x ¹ 0) (3)

7. Solve each of the following system of equations by using the method of
Cross Multiplication
(a - b) x + (a + b) y = a2 - 2ab - b2, (a + b) (x + y) = a2 + b2 (3)

8. Solve 23x – 29y = 98, 29x – 23y = 110 (3)

9. Solve (3)


Answers for free paper cbsemath.com linear equations in one variable
1. No solution (parallel lines)
2. (0, 0) (4, 4) (6, 2)
3. x = 15, y = 5
4. r ≠ 4
5. x = 3, y = 4
6.
7.
8. x = 3, y = - 1
9. x = 2, y =6
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