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Mathematics 6 Online
OpenStudy (anonymous):

Solve M=ct/c+t for t.....i have no idea

OpenStudy (campbell_st):

ok... so is the equation \[M = \frac{ct}{c+t}\]

OpenStudy (anonymous):

yes

OpenStudy (campbell_st):

ok... multiply both sides by the denominator \[m(c + t) = ct\]

OpenStudy (campbell_st):

next distribute the left hand side \[Mc + Mt = ct\]

OpenStudy (campbell_st):

subtract Mt from both sides Mc = ct - Mt

OpenStudy (campbell_st):

factorise the right hand side Mc = (c - M)t

OpenStudy (campbell_st):

divide both sides by (c - M) for the solution

OpenStudy (campbell_st):

I'll let you work that out

OpenStudy (anonymous):

ahhhhhhhhh ok

OpenStudy (usukidoll):

T needs to be the variable on the left. a stand alone variable.

OpenStudy (anonymous):

t=Mc/c-M

OpenStudy (campbell_st):

that correct

OpenStudy (anonymous):

\[M={ct\over c+t}\]\[{M\times(c+t)}={ct}\]\[Mc+Mt=ct\]\[Mc=ct-Mt\]\[Mc=t(c-M)\]\[{Mc\over c-m}=t~~\large \checkmark\]

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