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! :)

35 is an outlier

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0