10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

If \[x=a\]and \[y=b\] is the solution of the equations \[x-y=2\]and\[x+y=4\], then the values of a and b are 3 and 2, respectively

A) True

B) False

C) Cannot say

D) Partially true/false

Correct Answer: B

Solution :

Since, x = a and y = b is the solution of the equations x - y = 2 and x + y = 4, then these values will satisfy that equations

\[a-b=2\] ... (i)

and a +6= 4 … (ii)

On adding Eqs. (i) and (ii),

we get \[2a=6\]

\[\therefore a=3\] and \[b\text{ }=\text{ }1\]