Question

If x = a, y = b is the solution of the pair of equations x - y = 2 and x + y = 4, find the values of a and b.​

Answer 1

Answer: a = 3, b = 1

Step-by-step explanation: There is nothing to be done except solving the equation together:

x - y = 2 => x - 2 = y (Equation 1)

x + y = 4 => 4 - x = y (Equation 2)

x - 2 = 4 - x ==> x should be 3 in this case. (a = 3)

If x or a is equal to 3, we can use this value to find y (or b).

Solving for the first equation:

x - y = 2 ==> (3 - y = 2)

y is equal to 1.