MHB ็How to Solve the system of equation

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To solve the system of equations, start by dividing the second equation by the first, which eliminates x_0 and results in an equation involving only φ and γ. Next, divide the third equation by the first as well to obtain another equation in terms of φ and γ. This approach simplifies the problem and allows for easier manipulation of the variables. Solving these resulting equations will help determine the values of φ and γ. This method effectively reduces the complexity of the original system.
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$$x_0\cos(\phi) = 2.78$$
$$x_0\sin(\phi)=2.78 \left( \frac{\gamma^2/2}{ \sqrt{10-\frac{\gamma^2}{4}}} \right)$$
$$x_0e^{-15\gamma} \cos\left(30\sqrt{10-\frac{\gamma^2}{4}}-\phi\right)=1$$

I don't know awsner of $$\phi , x_,\gamma$$
 
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Start by dividing the second equation by the first. That removes "[math]x_0[/math]" leaving an equation in \phi and \gamma. Then divide the third equation by the first to also remove x_0 and get another equation in \phi and \gamma.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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