Question

Help solving this problem please, sort of have an answer.

x,y = (-3/2, 1)

I got this answer but problem claims there is two. What have I overlooked?

Answer 1

I solved by substitution
for the equations xy = 6 and 9x - y + 53 = 0
I isolated the y and got y = 9x + 53
then I plug it into the xy = 6 to get
x ( 9x + 53 ) = 6 use the distributive property
so 9x^2 + 53x - 6 = 0 then you would factor
(9x - 1)(x + 6) = 0
solve for x when
9x - 1 = 0 and x + 6 = 0
you get to x values then you plug each back into one of the given equations to get your y values :)

Answer 2

got
1/9, 54
-6, -1

Answer 3

yep :)

Answer 4

how would i find the y values if given something like:

5y(y-4)

Answer 5

you mean 5y(y-4) = 0 ?
then solve for 5y = 0 and y - 4 = 0

Answer 6

So 0 and -4 as Y values?

How would you start the substitution if it was

y = x^2-8
y = 2x -5

Sorry for all the questions but trying to get all the different way in my head lol.

Answer 7

y = x^2-8
y = 2x -5

so x^2 - 8 = 2x - 5

Answer 8

ah ok makes sence thank you so much

Answer 9

glad I could help :D