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y=5x

x2+y2=26

Substitute the first equation into the second for y.

x2 + (5x)2 = 26

x2 + 25x2 = 26

26x2 = 26

x2 = 1

x = SQRT(1) = 1 & -1

y = 5*1 = 5

y = 5*-1 = -5

So the solutions are: (1,5) & (-1, -5)

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Q: What are the solutions to the nonlinear system of equations y equals 5x and x2 plus y2 equals 26?
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