Which of following nbsp-is a solution of the equation- 2x - 3y - 11- x - 1- -y - 3-x - 9- -y- 1-x - 0- y - 5-x - -2- -y - -5-

The correct option is A x = 1, y = 3 Substituting nbsp;each set of the values for x and y in the equation 2x + 3y = 11, we have (i) x = 1, y = 3 LHS = ( ...

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Byju's Answer

Standard IX

Mathematics

Solution of a Single Linear Equation in Two Variables

Which of foll...

Question

Which of following is a solution of the equation, $2 x + 3 y = 11 ?$

$x = 1, y = 3$

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$x = 0, y = 5$

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$x = - 2, y = - 5$

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$x = 9, y = 1$

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Solution

The correct option is A
$x = 1, y = 3$

Substituting each set of the values for $x$ and $y$ in the equation $2 x + 3 y = 11$ , we have

$(i) x = 1, y = 3 L H S = (2 \times 1) + (3 \times 3) = 11 = R H S (i i) x = 0, y = 5 L H S = (2 \times 0) + (3 \times 5) = 15 \neq R H S (i i i) x = - 2, y = - 5 L H S = (2 \times - 2) + (3 \times - 5) = - 19 \neq R H S (i v) x = 9, y = 1 L H S = (2 \times 9) + (3 \times 1) = 21 \neq R H S$

$∴ x = 1, y = 3$ is solution to the given equation.

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Which of following is a solution of the equation, $2 x + 3 y = 11 ?$

Q. Question 10
A pair of linear equations which has a unique solution x = 2 and y = - 3 is
(A) x + y = 1 and 2x – 3y = -5
(B) 2x + 5y = - 11 and 4x + 10y = - 22
(C) 2x – y = 1 and 3x + 2y = 0
(D) x – 4y + 14 = 0 and 5x – y – 13 = 0

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Which of following is a solution of the equation, 2x+3y=11?

Which of following is a solution of the equation, $2 x + 3 y = 11 ?$