What are the respective values of x and y for the given system of equations?
$2 x - 3 y + 6 = 0, 2 x + 3 y - 18 = 0$

4 and 3

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3 and 4

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-3 and -4

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3 and -4

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Solution

The correct option is B 3 and 4
Given,
$2 x - 3 y + 6 = 0$ $\Rightarrow 2 x - 3 y = - 6$
$2 x + 3 y - 18 = 0$ $\Rightarrow 2 x + 3 y = 18$

$2 x + 3 y = 18$
$2 x - 3 y = - 6$
$-$ $+$ $+$
$- - - - - - -$
$6 y = 24$
$y = 4$
Putting value of y in first equation,
$2 x - 3 \times 4 + 6 = 0$
$2 x = 6$
$x = 3$

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What are the respective values of x and y for the given system of equations? 2x−3y+6=0, 2x+3y−18=0

The correct option is B 3 and 4Given, 2x−3y+6=0⇒2x−3y=−6 2x+3y−18=0⇒2x+3y=18 2x+3y=18 2x−3y=−6 − + + −−−−−−− 6y=24 y=4 Putting value of y in first equation, 2x−3×4+6=0 2x=6 x=3

What are the respective values of x and y for the given system of equations?
$2 x - 3 y + 6 = 0, 2 x + 3 y - 18 = 0$