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\frac{m_{1}{v_{1}}^2}{2} + \frac{m_{2}{v_{2}}^2}{2} = \frac{m_{1}{v'_{1}}^2}{2} + \frac{m_{2}{v'_{2}}^2}{2}
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\frac{m_{1}{v_{1}}^2}{2} + \frac{m_{2}{v_{2}}^2}{2} = \frac{m_{1}{v'_{1}}^2}{2} + \frac{m_{2}{v'_{2}}^2}{2}
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$$
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$$
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The aforementioned equations can be transformed into the following system:
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If we consider the law of conservation of momentum in projection on the X-axis, we can transform the previous equations into the following system:
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$$
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$$
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\begin{cases}
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\begin{cases}
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