To solve the system of equations given by y = 25x^2 and y = x^2, we start by setting the two expressions for y equal to each other:
25x^2 = x^2
Next, we can rearrange this equation:
25x^2 – x^2 = 0
24x^2 = 0
Dividing both sides by 24 gives:
x^2 = 0
Taking the square root of both sides results in:
x = 0
Now that we have the value of x, we can substitute it back into either of the original equations to find the corresponding y value. Using y = 25x^2:
y = 25(0)^2 = 0
Hence, the solution to the linear quadratic system of equations is:
(x, y) = (0, 0)