00:01
Okay, so we're asked to see if these order pairs are solutions for this system of equations.
00:08
And we can do this just by solving for x and y and seeing if any of those options are here.
00:14
So we can do this by, so we have 4x squared plus y is equal to 3.
00:19
And if we subtract or if we just add this equation to that equation, so we're adding, we get 4x squared.
00:30
Minus x the y is cancel equals 14 so this is just a quadratic that we can solve x for get 4x squared minus x minus 14 is equal to zero you get 4x you can factor this an x and then a 7 and a 2 if you look at here you get negative 8x plus 7x will give us the negative x that we need and then a 7 times and negative 2 will give us the negative 14 that we need.
01:04
So this is this works.
01:07
Then we can solve for x and we get that x equal to negative 7 4ths and x is also equal to positive 2.
01:16
So we have a couple of candidates here.
01:19
From here we can tell that this is this is not an answer.
01:23
But then we can look at this and see maybe if one of these are the answer.
01:26
So we can plug these values into our equation.
01:30
I'm just going to use the bottom one here, just because it seems a little easier to work with...