What are the solutions to the nonlinear system of equations below?Check all that apply.y = 3xx2 + y2 = 10

Step 1: We have two equations, y = 3x and x^2 + y^2 = 10.

Step 2: We can substitute y = 3x from the first equation into the second equation. This gives us x^2 + (3x)^2 = 10, which simplifies to x^2 + 9x^2 = 10, and further simplifies to 10x^2 = 10.

Step 3: We can solve for x by dividing both sides of the equation by 10. This gives us x^2 = 1. Taking the square root of both sides gives us x = 1 and x = -1.

Step 4: We can substitute x = 1 and x = -1 into the first equation y = 3x to find the corresponding y values. When x = 1, y = 3(1) = 3. When x = -1, y = 3(-1) = -3.

So, the solutions to the system of equations are (1, 3) and (-1, -3).