Question

4.If x=a, y=b is the solution of the equations x-y =2 and x+y =4,then the values of a and b are respectively

(a) 3 and 5 (b) 5 and 3

(c) 3 and 1 (d) -1 and -3​

Answer 1

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• Given : The value of x = a & the value of y = b.

The two equations are :

1. x - y = 2
2. x + y = 4

Substituting the value of x & y in the first equation, i.e x - y = 2,

a - b = 2

a = 2 + b ....(1)

Now the second equation x + y = 4 after substituting a & b will become,

a + b = 4

From (1),

2 + b + b = 4

2 + 2b = 4

2b = 4 - 2

$\: b = \frac{2}{2}$

$\boxed{b = 1}$

We found the value of b. Let's find the value of a.

Substituting value of b in (1),

a = 2 + 1

$\boxed{a = 3}$

So the values of a & b are 3 and 1 respectively.

_________________________

According to your question, option (c) is the correct one.

Thank You! :)