Question

Conic section

For questions 10 - 11, solve each system. In your work, identify the shape of the graph of each
equation. (5 points each)
(7y2 + x2 = 64
10.
x+y = 4

Answer 1

Answer:

Step-by-step explanation:

• 7$y^{2}$+$x^{2}$=64

• x+y=4

First, we isolate the variable on the second equation so that we can have an x solution to plug in:

• x=-y+4

Now, we plug this in to the first equation:

$7(-y+4)^{2} +(-y+4)^{2} =64$

We can now put the 7 into the parentheses and then square root the equation:

$\sqrt{(-7y+28)^{2}} +\sqrt{(-y+4)^{2}} =\sqrt{64}\\-7y+28-y+4=8\\-8y=40\\y=-40$

We then plug this in to the original equation to find x

$x+-40=4\\x=-36$

This means y=-40 and x=-36. I believe that's what you were asking. Let me know if it is something else