Question

2x-y=5, x+y=4 then find x^2+y^2

Answer 1

Answer:

10

Step-by-step explanation:

2x+y=5  [1]

x+y=4  [2]

Rearrange equation  [2]  so y is in terms of  x:

y=4−x  [3]

Substitute equation  [3]  into equation  [1]:

2x+(4−x)=5

2x+4−x=5

x= 5−4

 = 1  is the answer.

Substitute this result into  equation [2]:

1+y=4

y= 4−1

 = 3 is the answer.

∴ x²+y²= (1)²+(3)²

           = 1+9

           = 10 is the answer.

HOPE IT HELPS YOU.

MARK ME AS BRAINLIEST