Question

In the system shown below, what is the sum of
the x-coordinates of all solutions?

7x^2+3y^2=187
3y^2-7x=47

Answer 1

3y^2=47+7x from the second equation.
Put that in the first equation in place of 3y^2

Answer 2

7x^2+7x+47=187

Answer 3

7x^2+7x-140=0
Divide by 7
x^2+x-20=0

Answer 4

x=20?

Answer 5

(x+5)(x-4)=0
x=-5 or 4 So the sum of the x coordinates of the solutions is -5+4 or -1

Answer 6

nevermind i see

Answer 7

thanks!! :)

Answer 8

yw