Question

If X =a and Y = b are the solutions of the equations X + y = 5 and 2 x -3 y=4 then the values of a and b are respectively___&____. 1 point 6, -1 2, 3 1, 4 19/5, 6/5

Answer 1

Answer:

x = a = 19/5

y = b = 2

Step-by-step explanation:

let x+y = 5 ---> eq.1

let 2x - 3y = 4 ---> eq.2

Multiplying eq.1 by 3 so that the 'y' term cancels out during addition.

eq.1 * 3 ----> 3x + 3y = 15

Let the above equation be eq.3

adding eq.2 and eq.3 gives

3x+3y+2x-3y = 15+4

5x = 19

.'. x = 19/5

==========

substituting the value of x in eq.1

19/5 + y = 5

y = 5-(19/5)

y = (25-19)/5                                 (Taking LCM 5)

.'. y=6/5.

Hope you found this helpful :)