Solve for x and y. y=x^2-5x+1 x+y=-2

Y = x² - 5x + 1
x + y = -2

substitute the first equation into the second one

x + x² - 5x + 1 = -2
x² - 4x + 1 = -2
add 2 on both sides to make the equation equal to 0.

x² - 4x + 3 = 0
factor this.

(x - 1)(x - 3) = 0
x = 1 , x = 3

to find the y values, you would have to substitute x = 1 and x = 3.
1 + y = -2       3 + y = -2
y = -3                   y = -5

So your answers are
x = 1 , x = 3
y = -3, y = -5

Hope this helped!