Question

10. 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

Step-by-step explanation:

Given :-

x = a, y = b is the solution of the equations

x + y = 5 and 2x – 3y = 4.

To find:-

Find the values of a and b?

Solution:-

Given that

Given equations are : x + y = 5-------(1)

2x – 3y = 4 ---------(2)

And x = a and y = b are the solutions of the given equations .

Put x = a and y = b in (1) then

=> a+b = 5

=> a = 5-b --------(3)

Put x = a and y = b in (2) then

=> 2a-3b = 4

=> 2(5-b) -3b = 4

=> 10-2b -3b = 4

=> 10-5b = 4

=> -5b = 4-10

=> -5b = -6

=> 5b = 6

=> b = 6/5

On Substituting the value of b in (3)

=> a = 5-(6/5)

=> a = [(5×5)-6]/5

=> a = (25-6)/5

=> a = 19/5

Therefore, a = 19/5 and b = 6/5

Answer:-

The values of a and b are 19/5 and 6/5 respectively.

Answer 2

Step-by-step explanation:

x + y=5_____equation1

2x-3y=4______equation2

Multiplying equation 1 with 3 and equation 2 with 1

3(x+y)=3(5)=3x+3y=15=equation 1

1(2x-3y)=1(4) =2x-3y=4=equation 2

Now, adding equation 1 and 2

=3x+3y+2x-3y=5+4

=3x+2x=9

=5x=9

=x=9/5

Substituting X in equation 1

5/9+y=5

5y=45

y=9=b and x=a=5\9