Which equation shows the substitution method being used to solve the system of linear equations?
x – y = 7
x = y + 3
x = (7 – x) + 3
x – y = y + 3
x – (y + 3) = 7
(y + 3) – y = 7
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OpenStudy (freemap):
My answer is A
OpenStudy (freemap):
I'am I right
OpenStudy (agent0smith):
No
OpenStudy (freemap):
why?
OpenStudy (agent0smith):
Idk how to answer that, other than, you didn't do it right.
Show your work.
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jimthompson5910 (jim_thompson5910):
notice the red x's
\[\Large \color{red}{x} – y = 7 \]
\[\Large \color{red}{x} =y+3\]
jimthompson5910 (jim_thompson5910):
substitution is another term for replacement
example: a substitute teacher is a temporary replacement teacher.
In mathematics if we had something like x+3 = 5 and we solved for x to get x = 2, then we can replace x with 2 to get 2+3 = 5. This is substitution in action
OpenStudy (freemap):
y+3 x-y=7
OpenStudy (freemap):
D
OpenStudy (agent0smith):
Yes.
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OpenStudy (freemap):
Thank you
jimthompson5910 (jim_thompson5910):
yep you replace the first x with (y+3) since they are identical