Consider this system of equations:

x - y = 11

5x + 4y = 100

For each ordered pair, determine whether it is a solution to the system of

equations. Explain how you know.

a. (12,1)

b. (16,5)

C. (20,0)

a is not a solution, b is a solution, c is not a solution

Step-by-step explanation:

a) Plug x and y into the two equations.

12-1=11 (that is correct)

5*12+4*1=64 (that does not equal 100)

therefore, "a" is not a solution

b) 16-5=11 (that is the answer to the system)

16*5+5*4 = 80+20=100 (that is the answer to the second equation)

Therefore, "b" is a solution

c) 20-0=20 (that is not 11)

Therefore "c" is not a solution