Question

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)

Answer 1

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

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