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3 years ago

What is the answer to the equation -84+15r=3r

Mathematics

2 answers:

Natalka [10]3 years ago

4 0

Answer:

r = 7

Step-by-step explanation:

So the reason that the answer is 7 is because in this equation you have to get all the r's on one side and the other numbers on the other side of the equal sign.

-84 + 15r = 3r

-84 = -12r

you then divide both sides of the equal sign by -12 in order to get rid of the -12 next to the r variable and when you divide the negative 84 by a negative 12 you will get a positive 7 giving you the answer r = 7

Novay_Z [31]3 years ago

3 0

Answer:

r=7

Step-by-step explanation:

-84+15r=3r

Subtract 15r from each side

-84+15r-15r=3r-15r

-84 = -12r

Divide each side by -12

-84/-12 = -12r/-12

7 = r

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3 years ago

Read 2 more answers

Find a fraction equivalent to 5/7 whose squared terms add up to 1184.

bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}$

The fraction that satisfies the request is $\bf{\dfrac{20}{28}}$ , since in $\bf{\dfrac{-20}{-28}}$ the negative signs are canceled and the first fraction is obtained.

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