Well AtTom'sRiver, x doesn't need to
be alone. In the placeholder equation
A=B/Cx,
A, B, and C are holding the place of numbers. So, let's look at the placeholder
equation and then we'll substitute it with the first equation:
5=200/4x.
A
= B/Cx
A and B are constants, and C is a coefficient of
x.
A(Cx) = B(Cx)/Cx
To get rid
of the denominator (division), we multiply (the opposite of division) both sides of the
equal sign by Cx.
A(Cx) = B
On
the right side of the equal sign, Cx in the numerator cancels with the Cx in the
denominator. On the left side of the equal sign, Cx is multiplied by A, because what
you do on one side you must do to other side.
ACx =
B
Carry out the multiplication of the constant A and the
coefficient C. Now, we'll want to isolate the variable
x.
ACx/AC = B/AC
To get rid of
the coefficient AC, divide both sides of the equal sign by
AC.
x = B/AC
This is what we
are left with! Now here is the substitution:
A=5; B=200;
C=4
x = 200/(5)(4)
x =
200/20
x = 10
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