Question

Okay so how do you find the solution set to the system of equations: 4x^2 + 9y^2 = 72 and
2x - y = 4??

Answer 1

2x-y =4
y = 2x-4
put this in eqn 1
4x^2+9(2x-4)^2=72
4x^2+9(4x^2+16-16x)=72
40x^2-144x+72=0
solving using quadratic equations
x=3 and x=0.6
corresponding y=2 and y=-2.8

Answer 2

Okay thank You! I'm glad you explained it all out haha I was so lost

Answer 3

I do have a question though shouldn't the 16x in the third step be a 8x instead?