Given that, $x + y = 0$ , $3 x - 2 y = 10$
Which of the following ordered pairs $(x, y)$ satisfies the system of equations above?

(3, - 2)

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(2, - 2)

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(- 2, 2)

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(2, 2)

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Solution

The correct option is B $(2, - 2)$
Two straight lines intersect at a point.
Solving the two given equations, we get
$x + y = 0 . . . (1)$
$3 x - 2 y = 10 . . . (2)$
Multiplying equation $(1)$ by $2$ and adding equations $(1)$ and $(2)$ ,
$2 x + 3 x = 10$
$∴ 5 x = 10$ or $x = 2$
Substituting $x = 2$ in equation $(1)$ , we get $y = - x = - 2$ .

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Given that, x+y=0, 3x−2y=10Which of the following ordered pairs (x,y) satisfies the system of equations above?

The correct option is B (2,−2)Two straight lines intersect at a point.Solving the two given equations, we get x+y=0...(1)3x−2y=10...(2)Multiplying equation (1) by 2 and adding equations (1) and (2), 2x+3x=10∴5x=10 or x=2Substituting x=2 in equation (1), we get y=−x=−2.

Given that, $x + y = 0$ , $3 x - 2 y = 10$
Which of the following ordered pairs $(x, y)$ satisfies the system of equations above?