Question

If x=a and y=b is the solution of 2x–3y=1, x+y=3. Then the values of a and b are *

Answer 1

Answer:

a=2,b=1

Step-by-step explanation:

x=a ,y=b (given) ------equation (a)------

2x-3y=1

• 2a-3b=1 (Equation 1)

x+y=3

• a+b=3 (Equation 2)

a=3-b -------equation (b)-----

putting the value of "a" in equation 1 we get,

2(3-b)-3b=1

6-2b-3b=1

-2b-3b=1-6

-5b=-5

b=1 -------equation (c)------

putting the value of "b" in equation(b) we get,

a=2

Hence ,the value of a=2,b=1