can someone show me how to solve this look at the picture please

Question

anonymous · Answer

attachment

ankit042 · Answer

substitute y=x-6 in the first equation and then solve

anonymous · Answer

x=y+6?

ankit042 · Answer

No there are 2 equations in the question we will use the substitution method to solve the equation. 
From the second equation we found value of y=x-6 . Now substitute this value of y in the first equation and solve for x

ankit042 · Answer

@wequess2 did you understood the concept or are stuck somewhere?

anonymous · Answer

x=√y+2+10 ?

ankit042 · Answer

x-6+2 = (x-4)^2/4
4x-16=x^2+16-8x
x^2-12x-32=0 now solve for x

anonymous · Answer

which problem am i using?

ankit042 · Answer

meaning? We are putting value of y from second equation to the first equation

anonymous · Answer

im confused

ankit042 · Answer

In the question you see two equations...Now can you write y in terms of x from equation 2

anonymous · Answer

y=x-6 ?

anonymous · Answer

and put it in the first equation?

ankit042 · Answer

Yes exactly! I have simplified the first equation are substituting the value of y

anonymous · Answer

and then the equation should be   y + 2 = 1/4(x-6 − 4)^2?

ankit042 · Answer

No you have to replace value of y not x. In the first step we found y=x-6

anonymous · Answer

ok so x-6+2=1/4(x-4)^2?

ankit042 · Answer

yes good!

anonymous · Answer

x=4,8?

anonymous · Answer

now how do i find the second numbers?

ankit042 · Answer

Now you can use the previous equation y=x-6 to find the answer

anonymous · Answer

so 8=4-6

ankit042 · Answer

NO! you will get two different value of Y for each X. first put x=4 and get one y then put x=8 to get other value

anonymous · Answer

ohhh! ok!

ankit042 · Answer

Hope it was helpful and you got the answers!

anonymous · Answer

yep thank you very much!!!!

ankit042 · Answer

You are welcome!