Question

How many solution are having 2x+y=7 and x+y=5​

Answer 1

Answer:

x+ y= 5

x -2,0 ,5

y. 7,5,0

Explanation:

x+ y= 5

-2+ y= 5

y= 5+2

y= 7

2x+ y= 8

2(2)+ y= 8

4+ y= 8

y= 8-4

y= 4

x 2,4,6

y 4,0,-4

Answer 2

Answer:

x= 2 and y= 3

Explanation:

The given equations are

2x+y= 7--------------(A)

x+y= 5  --------------(B)

Solving (B) so that the x variable matches with (A). In order to do that we will multiply the equation by 2.

2(x+y) = 2(5)

2x+2y= 10    ----------------- (C)

Solving (A) and (C)

2x+2y=10

2x+y= 7

(-)

-----------------------

y = 3

Putting y=3 into equation B,  

x+3 =5

x= 2

Therefore, the solution is x=2 and y=3