Question

Determine the point of intersection of the lines x+y=4 and 2x+3y=12 algebraically

Answer 1

(0,4)

Explanation:

find x by subtracting y from both sides

Answer 2

this is just a system of equations

x+y=4

2x+3y=12

x=-y+4

plug in

2(-y+4)+3y=12

-2y+8+3y=12

y+8=12

y=4

plug in

x+4=4

x=0

(0,4)

Hope This Helps!!!