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Question

Choose the correct answer in each of the following questions:

If 2x+3y=12 and 3x2y=5 then 

(a) x=2,y=3         (b) x=2,y=-3     (c) x=3,y=2     (d)  x=3,y=-2


Solution

2x+3y=12....(1) 

3x2y=5 ......(2) 

From equation (1) 3y=2x+12

y=2x3+4


Put this in for variable  y  in equation [2]

3x2(2x3+4)=5

13x3=13

13x=39

x=3

put in equation (1)

2(3)+3y=12

6+3y=12

3y=126

y=63

y=2

(x,y)=(3,2)

Answer (c) x=3,y=2   

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