Question

If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively

Answer 1

Answer:

values of a and b will be b = 6/5 and a = 19/5

Step-by-step explanation:

x = a and y = b

then a+ b = 5

hence, a = 5-b (say, eqn (I))

Now again,

2x-3b = 4

thus, 2a-3b = 4

now using eqn (I) we get,

2(5-b) - 3b = 4

or, 5b = 6

thus, b = 6/5

using this, from eqn (I) we will get,

a = 5-(6/5) = 19/5