System of nonlinear equations

[finite wolf]

Hello please help me find the value of x and y, I am so confused 😭

x=y
(x+2)^2+(y+6)^2=10

[little shore]

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[spiral leaf]

just substitute x=y

the equation then formed will be $(x+2)^{2}+(x+6)^2=10$

[fading whale]

Doctorate in theoretical sex

[spiral leaf]

which equals to $x^{2}+2^{2}+ 22x + x^{2} + 6^{2}+ 26x=10$

[finite wolf]

I don’t know how 😭

[fading whale]

Doctorate in theoretical sex

[spiral leaf]

just let x=y

[finite wolf]

Okay okay, then

[spiral leaf]

which equals $2x^{2}+ 4+36+ 4x+12x=10$

[fading whale]

Doctorate in theoretical sex

[spiral leaf]

which equals to $2x^2+40+16x=10$

[fading whale]

Doctorate in theoretical sex

[spiral leaf]

solve this now @finite wolf

[finite wolf]

Okay waitt

Uhm

I’m always dead end on this part, I’m sorry 😭😭

[spiral leaf]

you can factor out two from this

so, the equation, $x^{2}+8x+15=0$ will form

[fading whale]

Doctorate in theoretical sex

[spiral leaf]

@finite wolf can you solve this?

[finite wolf]

Am I going to use the quadratic equation now?

[spiral leaf]

well, there's a simpler method

[finite wolf]

Really???

Uhm I got 4

[spiral leaf]

that's wrong

also, there are 2 possible values

[finite wolf]

What formula should I use?

[spiral leaf]

@finite wolf we can say $x^{2}+8x+15= x^{2}+5x+3x+15= x(x+5)+3(x+5)=0$

[fading whale]

Doctorate in theoretical sex

[spiral leaf]

not everything has a formula

[finite wolf]

Ohhh

[spiral leaf]

so we can say this equals t $(x+3)(x+5)=0$

[fading whale]

Doctorate in theoretical sex

[spiral leaf]

so, the possible values of x are -3,-5

[finite wolf]

Ohhhh

I have a question

What happened to the 8x?

[spiral leaf]

8x=5x+3x

[finite wolf]

OHHH

OMG

THANK YOU SO MUCH 😭😭😭😭

[spiral leaf]

yw

close the post with +close

[finite wolf]

Wait how

Where can I see it?

[spiral leaf]

see what

[finite wolf]

+close

[hollow pier]

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[finite wolf]

Thank you so so much again!

[hollow pier]

Thank you for your feedback! Doctorate in theoretical sex has been awarded 1 . They now have 1 . They have 3 daily left for today.

[spiral leaf]

yw