Question

22. The solution of the
equations x+y=5, 2x-3y=5 is *​

Answer 1

Answer:

x=4 and y=1

Step-by-step explanation:

x+y=5-----(1)×3

2x-3y=5----(2)×1

3x+3y=15-----(3)

2x-3y=5-------(4)

adding (3) and (4)

3x+3y=15

2x-3y=5

5x=20

x=20/5

x=4

now.... substitute x=4 in (2)

2x-3y=5

2(4)-3y=5

8-3y=5

-3y=5-8

-3y=-3

y=-3/-3

y=1

hope this helps you

Answer 2

Answer:

x+y=5 -(1) ; 2x-3y=5 -(2)

Multiplying (1) by 3

3x+ 3y = 15 -(3)

Adding (3) and (2)

3x + 3y =15

+

2x - 3y =5

_________

5x. = 20

x= 20/5

x= 4

Put x=4 in (1)

x+y=5

4+y=5

y =5-4

y= 1

So the solution of this equation is (4,1)