Question

For the system of equations y = 2x + 13 and y = 2x – 5, will the two lines ever intersect? Why or

why not

Answer 1

They won't

Explanation:

If the first equation y= 15 and second equation y= - 15 they won't intersect because - 15 is on the negative side

Answer 2

The answer is (4, 5)

Explanation:

The given equations are: y = −2x + 13 , y = 2x − 3

We equate the two equations to get: −2x + 13=2x − 3

Group similar terms: -2x-2x=-3-13 , -4x=-16

Divide both sides by -4, (x=4)

Put x=4 into equation y=2(4)-3

y=5

The two graphs should intersect at:

(4,5)