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Pair of Linear Equations in Two Variables

Short Answer Type

171. Does (1, -1) lie on the linear equation 2x - 3y - 5 = 0.

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172. Write the value of k, for which the following pair of linear equations has unique solution 2x + ky + 5 = 0, 3x + 3y + 6 = 0.

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173. For what value of k the pair of linear equations 7x - 3y = 4, 14x + ky + 5 = 0 has unique solution.

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174. Is the pair of linear equations 2a + 3y - 6 = 0, 4x + 6y = 24 is consistent.

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175. For what value of k, the pair of linear equations 2a + 3y - 5 = 0; kx - by - 8 = 0 has unique solution.

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176. Determine the value of k for which the following system of equations has unique solution 2x + 5y = 7; 3x - ky = 5.

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177. Given below are three equations. Two of them have infinite solutions and two have a unique solution. State the two pairs : 4x - 5y - 3; 5a - 4y = 5; 8x - 10y = 6.

Solution not provided.
Ans. Infinite solution, equation : 1 and 3; Unique solution, equation : 1 and 2.

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178. Given below are three equations two of them have infinite solutions and two have a unique solution state the two pairs : 3x - 2y = 4; 6x + 2y = 4; 9x - 6y = 12.

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179. Is a = -3 and y = 4 a solution of 3x + 2y + 1 = 0 ?

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180. Is x = 5 and y = 2 a solution of linear equation 3x - 5y - 5 = 0.

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