What is the solution to the system of equations?
5x+4y=8
x-2y=10
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OpenStudy (cresciez):
Do you have answer choices we can build off of? c:
OpenStudy (taylor0402):
no sadly
OpenStudy (cresciez):
Alright no biggie :) Do you have any idea what the answers may be?
OpenStudy (cresciez):
If not then let's move on :P
OpenStudy (taylor0402):
ok yes lets move on because i have no idea
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OpenStudy (alekos):
Let me help you if you like?
OpenStudy (anonymous):
Okay I love these!
OpenStudy (taylor0402):
im also kind of in a hurry so...yea lets get this done quick
OpenStudy (anonymous):
Okay so lets do this!
OpenStudy (taylor0402):
please =)
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OpenStudy (cresciez):
I got it but could you help make sure my explanations are correct? O.o
OpenStudy (anonymous):
Sure haha.
OpenStudy (anonymous):
These are the best :)
OpenStudy (cresciez):
Alright, so
5x+4y=8
x-2y=10
The first step is to multiply everything by 2 except for the end numbers (the equal sign will be the 'boundary')
5x+4y=8
2x-4y=10
OpenStudy (anonymous):
No sorry..
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OpenStudy (anonymous):
Thats wrong..
OpenStudy (taylor0402):
oh ok then
OpenStudy (cresciez):
It's not wrong
OpenStudy (anonymous):
The first step is to subtract 2y from each side on the second equation.
OpenStudy (anonymous):
Its much easier that way.
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OpenStudy (anonymous):
Then you multiply:
When you do that you should get:
\[x = 2(y + 5)\]
OpenStudy (anonymous):
so now we know what x is..
OpenStudy (taylor0402):
one sec
OpenStudy (anonymous):
Then you have to plug in x into the first equation...
so we would have:
\[5(2y +10) + 4y = 8 \]
OpenStudy (anonymous):
When you solve you should get:
\[y = -3\]
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OpenStudy (cresciez):
If we add my equation we get 7x=28 and x=4.
4-2y = 10
-2y = 10 - 4
-2y = 6 = -3
y = 3
x = 4
OpenStudy (taylor0402):
ok now how do i find x
OpenStudy (anonymous):
Now plug in y into this equation:
\[x = 2(y + 5)\]
OpenStudy (taylor0402):
wait so is it 3 or -3
OpenStudy (cresciez):
y = -3 sorry, I forgot that
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OpenStudy (anonymous):
So you would solve this to get x:
\[x = 2(-3 + 5)\]
OpenStudy (taylor0402):
oh ok
OpenStudy (taylor0402):
oh ok which would be...give me a sec
OpenStudy (anonymous):
Now when you do that you should get:
\[x = 4\]
OpenStudy (anonymous):
so the answer is:
\[(4, -3)\]
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OpenStudy (cresciez):
I hope you get the solution either way Taylor, have a wonderful day ~
OpenStudy (cresciez):
I already said that ...
OpenStudy (anonymous):
Hope this helped! Have a great day!
Also a medal would be much appreciated! Just click best response next to my answer. Thank You!
@Taylor0402
OpenStudy (cresciez):
???????
OpenStudy (anonymous):
Yes, but you got positive 3 for y...
@Cresciez
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OpenStudy (anonymous):
Great try though!
OpenStudy (anonymous):
:)
OpenStudy (taylor0402):
thank you so much
OpenStudy (anonymous):
No problem!
OpenStudy (anonymous):
Have an amazing day!
@Taylor0402
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