Q.

Solve for x and y

x + y = 14  

x – y = 4 

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a

5, 8

b

9, 4

c

9, 5

d

10, 4

answer is D.

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Detailed Solution

x = 4+y    using equation (ii) the value of one variable, say x in terms of the other variable, i.e., y .

 (4 +y) + y = 14    Substituting value of y in equation (i) to reduce it to equation in one variable

2y = 14-4  or 2y = 10   or  y= 5  (Obtain the solution for y)

X = 4 + y = 4 + 5 =9  (Substitute the value of  y obtained in Step 2 to get value of x)

Thus solution is x,y = 9,5

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Solve for x and yx + y = 14  x – y = 4