2x + y = 8. x + y = 4. The lines whose equations are given intersect at.

Question

A) (4, 0)

 

B) (0, 4)

 

C) all points on the line

Answer 1

Hi again Lindsey;

2x + y = 8

x + y = 4

Let's do the process of elimination.

Let's subtract the second equation from the first...

2x + y = 8

-(x + y = 4)

x+0=4

x=4

Let's plug this into either equation to establish y.  The second equation is easiest...

x + y = 4

4+y=4

y=0

Let's plug both values into the first equation to verify...

2x + y = 8

[(2)(4)]+0=8

8+0=8

8=8

It works!

THE ANSWER IS (A) (4,0).