Question

Is (1, 1) a solution to this system of equations?

11x+3y=18
4x+y=5

Answer 1

system of equations (1,1)

put value of these x and y in equations

(x , y) = ( 1,1)

so this solution not satisfied equation 1

11( 1) + 3 (1) = 18

so 11 + 3 = 18

15 = 18 ( Left side not equal to right side )

(1,1) is not solution for 11x+ 3y=18

2. 4x+y = 5

put values (1,1)

4(1) + (1) = 5

5 = 5 { left side = right side )

so (1,1) is solution for 4x +y=5