3. Solve the system by the substitution method. Show your work.
2y - x = 5
x2 + y2 - 25=0 ?

- anonymous

3. Solve the system by the substitution method. Show your work.
2y - x = 5
x2 + y2 - 25=0 ?

- chestercat

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- anonymous

y(4y + y - 20) = 0 so, y = 0
or 4y+y-20 = 0 5y -20 = 0 y =45y-20=05(4)-20=00=0 x = 2y -5when y=4x = 8-5 =32y - x = 5x2 + y2- 25 = 02y - x = 5 2y - 5 = x so x = 2y - 5 (2y - 5)² + y² - 25 = 0
(2y - 5)(2y - 5)
4y² - 10y - 10y + 25
4y² - 20y + 25
4y² - 20y + 25 + y² - 25 = 0
4y² + y² - 20y = 0
4y² + y² - 20y = 0
y(4y + y - 20) = 0
y=0
x= -5
2y - x = 5
2(0) - x = 5, so x= -5)
(-5,0) this wwas my answer

- anonymous

my teacher said 3. Solve for x using equation 1 and then substitute this in the second equation. Once you simplify you will have a quadratic equation which you can factor and solve. Remember to factor out the GCF first.. The solutions should be written as ordered pairs (x1,y1) and (x2,y2).

- anonymous

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## More answers

- anonymous

if my answer is correct what did she mean she only gave me two out of five points for thisw question

- anonymous

- anonymous

@nevermind_justschool

- anonymous

- anonymous

For one, you should have two solutions

- anonymous

or did I miss it?

- anonymous

somone sadi to use (3,4)

- anonymous

\(2y - x = 5\) → \(x=2y-5\)
\(x^2 + y^2 - 25=0\)
\((2y-5)^2+y^2-25=0\)
\(4y^2-20y+25+y^2-25=0\)
\(5y^2-20y=0\)
\(5y(y-4)=0\)
\(y=0,~y=4\)
Back substitute to find x

- anonymous

ok I see. On this line you needed to solve for both y's
y(4y + y - 20) = 0
You got \(y = 0\), but missed \(4y+y-20=0\)

- anonymous

wait there were two y's

- anonymous

yep. That's a quadratic equation so it has two solutions

- anonymous

ohh so i nned solve for the second one right

- anonymous

yes

- anonymous

can you help me withthat im so sleepy but i needa get this done

- anonymous

I already put it up there. It's 4

- anonymous

ohh ik that thnx hahaha see my sleepiness is messing with my brain thnx again padre

- anonymous

np

- anonymous

how do i copy and paste that i cant seem to get it highlighted to copy it and its killing me lol

- anonymous

help me one more time please @peachpi

- anonymous

idk that happens a lot with chrome. try double clicking the whole thing then deleting what you don't want

- anonymous

its mot working when i double click it it hightlights like 1 number

- anonymous

maybe try another browser

- anonymous

i got it highlighted but it wont let me coppy it

- anonymous

is there another way you could write it for me or nah

- anonymous

why can't you use what you had originally. It's right. Just add the line y = 4, x = 3 at the end

- anonymous

ohh ok i thought i needed the whole thing sorry

- anonymous

no, your stuff is good. you just missed one of the solutions, last step.

- anonymous

ok thnx bro gn

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