Jason is asked to graph this system of equations: 3x+y=2

2y+6x=4

How many times will the lines intersect?

Hello!

· {3x + y = 2 · {y = 2 - 3x

· {2y + 6x = 4 · {2(2 - 3x) + 6x = 4

· {y = 2 - 3x · {y = 2 - 3x

· {4 - 6x + 6x = 4 · {4 - 12x = 4

· {y = 2 - 3x · {y = 2 - 3x

· {12x = 4 + 4 · {12x = 8

· {y = 2 - 3x · {y = 2 - 3 • 8/12

· {x = 8/12 · {x = 8/12

· {y = 2 - 2 · {y = 0

· {x = 8/12 · {x = 8/12

Good luck! :)