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ira [324]
2 years ago
10

What are the solutions of the following system

Mathematics
2 answers:
noname [10]2 years ago
6 0

Answer:

<h2>(-6, 312), (6, 312)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}10x^2-y=48\\2y=16x^2+48&\text{subtracy}\ 16x^2\ \text{from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}10x^2-y=48\\-16x^2+2y=48&\text{divide both sides by 2}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x^2-y=48\\-8x^2+y=24\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x^2=72\qquad\text{divide both sides by 2}\\.\qquad x^2=36\to x=\pm\sqrt{36}\\.\qquad x=\pm6\\\\\text{Put the values of}\ x\ \text{to the second equation}

2y=16(\pm6)^2+48\\\\2y=16(36)+48\\2y=576+48\\2y=624\qquad\text{divide both sides by 2}\\y=312

Ostrovityanka [42]2 years ago
4 0

Answer:

c i think

Step-by-step explanation:

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We should also have
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Step-by-step explanation:

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