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All triangles have the same value, and all circles have the same value. What is the sum of two circles?

 

\(\begin{align*} \Delta + \bigcirc + \Delta + \bigcirc + \bigcirc + \Delta + \Delta&= 21\\ \bigcirc + \Delta+\bigcirc+\Delta+\bigcirc + \Delta + \bigcirc &= 16\\ \bigcirc + \bigcirc &= \ \, ? \end{align*}\)

 Jun 13, 2022
 #1
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Hello

 

So we will say that the triangle = x and the circle = y

 

We get the following equations

 

\(4x+3y=21,\:3x+4y=16\)

 

\(\mathrm{Substitute\:}x=\frac{21-3y}{4}\)

 

\(\begin{bmatrix}3\cdot \frac{21-3y}{4}+4y=16\end{bmatrix}\)

 

\(\begin{bmatrix}\frac{63+7y}{4}=16\end{bmatrix}\)

 

\(y=1/7\)

 

That's all we need to solve the rest!!!

 

\(y+y=? \)

 

\(1/7+1/7 = 2/7\)

 

-Vinculum

 Jun 13, 2022

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