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Angelina_Jolie [31]
3 years ago
11

You plan to purchase a bike costing $795. write an equation that could be used to find the amount m, that you must save per mont

h in order to buy the bike 5 months from now
Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0
Let
m-------> <span>the amount that you must save per month

we know that
total cost of a bike=$795
5*m=795----------> equation </span><span>that could be used to find the amount m
divide by 5 both sides
m=795/5
m=$159

the answer is
</span>the equation that could be used to find the amount m is
<span>5m=795

</span>
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\left\{\begin{array}{ccc}ax+by=c\\ax+by=c\end{array}\right\Rightarrow\text{coincident}\\\\\left\{\begin{array}{ccc}ax+by=c\\ax+by=d\\c\neq d\end{array}\right\Rightarrow\text{inconsistent}\\\\\left\{\begin{array}{ccc}ax+by=c\\dx+ey=c\\a\neq d\ or\ b\neq e\end{array}\right\Rightarrow\text{consistent independent}

\left\{\begin{array}{ccc}x+5y=-2\\x+5y=4\end{array}\right\Rightarrow\boxed{\text{inconsistent}}\\--------------------------------\\\left\{\begin{array}{ccc}y=3x+4&\text{subtract 3x from both sides}\\-2x+y=4\end{array}\right\\\\\left\{\begin{array}{ccc}-3x+y=4\\-2x+y=4\end{array}\right\Rightarrow\boxed{\text{consistent independent}}\\-----------------------------\\\left\{\begin{array}{ccc}3x+y=4\\-6x-2y=-8&\text{divide both sides by (-2)}\end{array}\right\\

\left\{\begin{array}{ccc}3x+y=4\\3x+y=4\end{array}\right\Rightarrow\boxed{\text{coincident}}

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