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Linear Equations in Two Variables

Short Answer Type

11. Write the equation 2x = y in the form ax + by + c = 0 and find the values of a, b, c in the equation. How many solution this equation has?

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12. Compare the equation

straight x over 3 plus 3 over 2 y plus 4

= 2y – 3 and lx + my – n = 0 and write the value of l, m and n.

231 Views

13. Express the linear equation 7 = 2x in the form ax + by + c = 0 and also write the values of a, b and c

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14. Write each of the following equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

(i) 2x + 3y = 4.37
(ii) x - 4 =

square root of 3 space y

(iii) 4 = 5x - 3y
(iv) 2x = y

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15.

Write each of the following as an equation in two variables:

(i) x = – 5 (ii) y = 2

(iii) 2x = 3 (iv) 5y = 2.

539 Views

16.

Which one of the following options is true, and why?

y = 3x + 5 has

(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions.

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17. Write four solutions for each of the following equations:

2x + y = 7

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18. Write four solutions for each of the following equations:

πx plus straight y equals 9

98 Views

19. Write four solutions for each of the following equations:

x = 4y

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20. Check which of the following are solutions of the equation x – 2y = 4 and which are not:
(0, 2)

(0, 2)

Put x = 0 and y = 2 in (i)., we get
x - 2y = 0 -2(2) = - 4, which is not 4
$therefore$ (0, 2) is not a solution of (1).

108 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

20. Check which of the following are solutions of the equation x – 2y = 4 and which are not:(0, 2)

20. Check which of the following are solutions of the equation x – 2y = 4 and which are not:
(0, 2)