linear equation in two variable problem set = 1 question (3) 4 3x-y-2=0 ; 2x+y=8 ssc board
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Answer:
ANSWER:
Disclaimer: There is error in the Q. In (II) there should have been 2x - 3y = 12
5x + 3y = 9 -----(I)
2x - 3y = 12 ----- (II)
Add (I) and (II)
7x = 21
x = 3
Putting the value of x = 3 in (I) we get
5(3)+3y=9⇒15+3y=9⇒3y=9-15=-6⇒y=-2
Thus, (x, y) = (3, -6).
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5x+3y=9-> equation -1
2x-3y=12-> equation -2
Adding equations of 1 and 2
5x+3y=9
2x-3y= 12
____________
7x=21
_____________
So 7x=21
then, x=3
Putting x=3 we substitute in equation -1
5(3)+3y=9
15+3y=9
3y= -6
y= -6/3
y=-2
Then, value of (x, y) = (3,-2)
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