x + y = 7;
3x + 4y = 11
What value of (x , y) satisfies the above system of equations?

(17, -10)

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(-17, 10)

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(-10, 17)

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(10, -17)

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Solution

The correct option is A (17, -10)
x + y = 7 .............. (i)
3x + 4y = 11..........(ii)
Multiplying eq.(i) by 3, thus the new equation will be
3x + 3y = 21..........(iii)
We use elimination method to solve this question
So, the idea is to make the coefficient of one of the variables equal in both the equations.
Subtracting (iii) from (ii)
3x + 4y = 11
3x + 3y = 21
We get, y = - 10
Use y = -10 in equation (i)
x + (-10) = 7
$\Rightarrow x = 17$
$\Rightarrow y = - 10$ from (i)
Thus, (17, -10) is a solution to the given system of linear equation.

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