Write the equation 2x = y in the form ax + by + c = 0 and find t

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 Multiple Choice QuestionsShort Answer Type

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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?


The given equation is
2x = y ⇒ 2x – y
⇒ 2x – y + 0 = 0
Comparing with ax + by + c = 0, we get
a = 2
b = –1
c = 0
This equation has infinitely many solutions.

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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.
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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.

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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
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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)
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