Class X Maths (Linear Equations in two variables)

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  y, x  0) (3)

6. Solve
1/x+1/y=7, 2/x+3/y=17 given (x  y, x  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
x+ y- 8/2             x+ 2y -14/3            3x- 12 +y/11