Question

Solve 2x+y=1, x+y=8 by elimination method​

Answer 1

solitin of the gieven equation is ( -7 , 15 )

Answer 2

Given Equation

2x + y = 1       (i)

x + y = 8          (ii)

To Find

Value of x and y by Elimination Method

Now Take

2x + y = 1

x + y = 8

For eliminating y multiply by 1 on both equation

2x + y = 1           (i) × 1

x + y =  8         (ii) × 1

Now subtract (ii) from (i)

2x + y - (x + y ) = 1 - 8

2x + y - x - y = -7

x = -7  

Now Put the value of x = -7 on (ii) eq

x + y =  8         (ii)

-7 + y = 8

y = 8 + 7

y = 15

Answer

x = -7 and y = 15