Please help!Solve each system. In your work, identify the shape of the graph of each equation.
7y^2 +x^2=64
x+y=4

Question

Please help!Solve each system. In your work, identify the shape of the graph of each equation.
7y^2 +x^2=64
x+y=4

shamil98 · Answer

x = -y + 4
substitute for x and solve for y.
it's a circle and a line btw.

anonymous · Answer

so 7y^2 +(-y +4)^2=64?

shamil98 · Answer

$$\huge 7y^2 + (4-y)^2 = 64$$
$$\huge 7y^2 + 16 - 8y + y^2 = 64$$
$$\huge 8y^2 - 8y - 48 = 0$$

anonymous · Answer

wait what does huge mean lol?

shamil98 · Answer

I wrote this in latex, it just enlarges the font, if you're using another browser/phone/tablet it might not show...

shamil98 · Answer

8(y^2 - y - 6) = 0
(y-3)(y+2) = 0
y = 3
y = -2

x + 3 = 4
x = 1

x - 2 = 4
x =  6
(1,3) and (6,-2) are your solutions

anonymous · Answer

Oh ok thank you!

anonymous · Answer

Wait is it a circle or an ellipse? And do I need to say there is a line passing through it?

shamil98 · Answer

It's a circle with a line passing through it

anonymous · Answer

Could you help on one more? if not, that is okay