Question

Graph the two equations to solve the system. What is the ordered pair solution?
x + y = 6 and x - y = 4
(4, 2)
(6, 2)
(5, 1)
no solution

Answer 1

\[x+y=6\]
\[x-y=4\] add together to get
\[2x=10\implies x = 5\]

Answer 2

and if x = 5 then y must be 1

Answer 3

this problem actually needs no algebra. think of two numbers that add to 6 and are 4 apart. you will come up with 5 and 1