Question

if x=a and y=b is the solution of the equation 2x+y=3and x-y=3 then find the value of a and b

Answer 1

by adding both equation you get
3x=6
x=2
by putting value of x in first equation
you get value of y=3-2x
y=3-6=-3
hence a=x=2
b=y=-3

Answer 2

Answer :

The given equations are

2x + y = 3 ...(i)
x - y = 3 ...(ii)

Since, x = a and y = b are solutions of (i) and (ii),

2a + b = 3 ...(iii)
a - b = 3 ...(iv)

Now, adding (iii) and (iv), we get

3a = 6

or, a = 6/3

or, a = 2

Now, putting a = 2 in (iii), we get

2 (2) + b = 3

or, 4 + b = 3

or, b = 3 - 4

or, b = - 1

Therefore, the value of a is 2 and the value of b is (- 1).

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