What are the solutions to the nonlinear system of equations below?. y = 5x, x2 + y2 = 26

Solutions are (1, 5) and (-1, -5).

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If you're interested, you can make the substitution for y and solve the resulting quadratic in x. I find a graphing calculator to be handy for these.

x^2 +(5x)^2 = 26
26x^2 = 26
x = ±1