Mathematics
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OpenStudy (moazzam07):
Question 4:
Two equations are shown:
Equation 1:
3
4
(x−12)=12
Equation 2:
3
4
y−12=12
Solve each equation. Then, enter a number in each box to make this statement true.
11 years ago
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OpenStudy (anonymous):
yea?
11 years ago
OpenStudy (moazzam07):
3/4y−12=12
11 years ago
OpenStudy (moazzam07):
3/4(x-12)=12
11 years ago
OpenStudy (moazzam07):
i dont know how to solve it
11 years ago
OpenStudy (anonymous):
\[\frac{ 3 }{ 4 }y-12=12\] and\[\frac{ 3 }{ 4 }(x-12)=12\]
11 years ago
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OpenStudy (moazzam07):
yes that
11 years ago
OpenStudy (moazzam07):
how do i solve it
11 years ago
OpenStudy (anonymous):
we add 12 to both sides for the first equation
11 years ago
OpenStudy (anonymous):
\[\frac{ 3 }{ 4 y}-12+12 = 12+12\] simplifed to \[\frac{ 3 }{ 4 }y =24\]
11 years ago
OpenStudy (moazzam07):
yes
11 years ago
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OpenStudy (anonymous):
multiply both sides by 4 to cancel the denominator we get 3y=96
11 years ago
OpenStudy (moazzam07):
ok so 3y = 96 is left
11 years ago
OpenStudy (anonymous):
divide both sides by 3
11 years ago
OpenStudy (moazzam07):
1y = 31
11 years ago
OpenStudy (anonymous):
32
11 years ago
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OpenStudy (moazzam07):
y=32
11 years ago
OpenStudy (anonymous):
yea
11 years ago
OpenStudy (moazzam07):
:O ok
11 years ago
OpenStudy (anonymous):
2nd part try doing it the same way
11 years ago
OpenStudy (moazzam07):
ok
11 years ago
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OpenStudy (moazzam07):
i ended up with 3x = 6
11 years ago
OpenStudy (moazzam07):
then i divided both sides by 3
11 years ago
OpenStudy (anonymous):
lemme show ya...
11 years ago
OpenStudy (moazzam07):
x=2?
11 years ago
OpenStudy (anonymous):
\[\frac{ 3 }{ 4 } (x-12)=12\] multiply 4 on both sides we get \[3(x-12) = 48\]
11 years ago
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OpenStudy (moazzam07):
oh i added 12 to both sides
11 years ago
OpenStudy (moazzam07):
now i add 12 to both sides?
11 years ago
OpenStudy (anonymous):
expand \[3(x-12)\]
11 years ago
OpenStudy (moazzam07):
3x - 36
11 years ago
OpenStudy (anonymous):
3x-36=48
now add 36 to both sides
11 years ago
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OpenStudy (moazzam07):
3x=84
11 years ago
OpenStudy (anonymous):
yes
11 years ago
OpenStudy (moazzam07):
x=28
11 years ago
OpenStudy (anonymous):
correct
11 years ago
OpenStudy (moazzam07):
OMG you are awesome thank you sooooo much
11 years ago
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OpenStudy (anonymous):
yw
11 years ago
OpenStudy (moazzam07):
x=28
11 years ago