Question

slove by elimination method x+2y=5 2x+y=5 ​

Answer 1

Answer:

x = y = 5/3

Step-by-step explanation:

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

2x+y=5 -------- (2)

multiply the eq (1) with 2

2(x+2y=5)

2x + 4y = 10 ----- (3)

_______________

subtract eq (2) from eq (3)

  2x + 4y = 10

(-) 2x + y   = 5

   -----------------

       3y = 5

      y = 5/3

substitute value of y in any equation

        x+2y = 5

       x + 2(5/3) = 5

       x + 10/3 = 5

       x = 5 - 10/3

       x = (15-10)/3

       x = 5/3

Answer 2

x+2y=5------1

2x+y=5------2

Multiplying =n 1 by =n 2 &=n 2 by=n 1

2x+4y=10-------3

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

subtracting =n 4 from 3

2x-2x+4y-y=10-5

0 +3y =5

y=5/3

putting y=5 in =n 1

x+2y=5

x+2(5/3) =5

x+10/3=5

x=5-10/3

x=15-10/3

x=5/3