Question

A pair of equations is shown below.

x + y = 5
y = 1/2x + 2

If the two equations are graphed, at what point do the lines representing the two equations intersect?
(2, 5)
(5, 2)
(2, 3)
(3, 2)

Answer 1

Use substituion

Answer 2

x + ( 1/2x + 2)= 5

Answer 3

Then combine like terms

Answer 4

2,5 ??

Answer 5

Try plugging in your x and y values to see if it is correct

Answer 6

x + y = 5

Obviously, 2 + 5 \[2+5\neq 5\]