y=–x+28 intersects y=x+10 at

Question

this is hard

Answer 1

y = -x + 28

y =  x + 10

 

Add the two equations

 

2y = 38

divide both sides by 2

y = 19

 

Now just plug 19 in for y in one

of the original equations.

 

19 = x + 10

Sbtract 10 from both sides

9 = x

 

The lines cross at x=9, y=19

which is the point (9, 19)

 

You check by plugging the answer into the

original equations that verify it works for

both.

Answer 2

y=-x+28

y=x+10

add

2y=38

y=38/2

y=19

substitute

19=x+10

x=19-10

x=9

(9,19) is the answer