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Linear Equations in Two Variables

Short Answer Type

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

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

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23. Check which of the following are solutions of the equation x – 2y = 4 and which are not:

open parentheses square root of 2 comma space 4 square root of 2 close parentheses

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24. Check which of the following are solutions of the equation x – 2y = 4 and which are not:

(1, 1)

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25. Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k.

If x = 2, y = 1 is a solution of the equation 2x + 3y = k, then these values will satisfy the equation. So, putting x = 2 and y = 1 in the equation, we get
2(2) + 3(1) = k
⇒ 4 + 3 = k
⇒ k = 7.

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26.

Find at least 3 solutions for the following linear equation in two variables:

2x + 5y = 13

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27.

Find solutions of the form x = a, y = 0 and x = 0, y = b for the following pairs of equations. Do they have any common such solution?

3x + 2y = 6 and 5x + 2y = 10

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28. Express x = 3y in the form ax + by + c = 0 and indicate the values of a, b and c. Write two solutions of the equation.

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29. Find the value of ‘m’ if (–m, 3) is a solution of equation 4x + 9y – 3 = 0.

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30. Express y in terms of x in the equation x + 2y = 8. Find the points where the line represented by this equation cuts 4x-axis and y-axis.

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