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Simultaneous linear equation in two variables, analytical and graphical solutions. Simultaneous linear in equations. Practical problems on linear equations.

If 2x + 3y = 12 and 3x - 2y = 5, then x and y must have the values :

Option:
A. 2 and 3
B. 2 and -3
C. 3 and -2
D. 3 and 2
Answer: D . 3 and 2

Justification:

Multiplying first equation by 2 and second by 3 and adding we get x = 3.
Putting x = 3 in 1st,
we get 2 x 3 + 3y = 12
.`. 3y = 6
.'. y = 2.
So x = 3 and y = 2.

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