What is the solution to the equation?
7(5 + 9) = 7 · x + 7 · 9
A.
x = 1
B.
x = 5
C.
x = 7
D.
x = 9
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OpenStudy (anonymous):
\[a \left( b+c \right)=a*b+a*c\]
OpenStudy (anonymous):
@AccessDenied @math_genius123
OpenStudy (anonymous):
@surjithayer
OpenStudy (linda3):
Okay- so do you know how to get the answer for
7(5+9) ?
OpenStudy (anonymous):
not really i try to practice on it.
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OpenStudy (linda3):
okay thats fine I'll lead you through it
OpenStudy (anonymous):
no wait i do
OpenStudy (anonymous):
7(5+9)= 7(14)
OpenStudy (anonymous):
98
OpenStudy (linda3):
(7x5) + (7x9) = 35 + 63 =98
good job!
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OpenStudy (anonymous):
thanks whats the next step
OpenStudy (linda3):
So now what is 7 · x + 7 · 9 ?
it would be 7x + 63
OpenStudy (linda3):
so the problem looks like this 98 = 7x +63
OpenStudy (anonymous):
okay
OpenStudy (linda3):
Now your goal is to get x alone on one side. In order to do this you have to subtract 63 by both sides and then you'll get
35 = 7x
now you divide 7 by both sides and you'll get 35 divide by 7 is?
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OpenStudy (anonymous):
5
OpenStudy (linda3):
Good job!!! :D
OpenStudy (anonymous):
so the answer is 5?
OpenStudy (linda3):
yes you are correct
OpenStudy (anonymous):
Thanks!
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