Algebra-1

Given the equations:
y = x² - 4x + 6
y = -3x + 2
To find the solutions, we'll equate the expressions for y in both equations and solve for x.
x² - 4x + 6 = -3x + 2
Rearranging the equation, we get:
x² - 4x + 3x + 6 - 2 = 0
x² - x + 4 = 0
Now, we can use the quadratic formula:

For our quadratic equation, the coefficients are:
a = 1, b = -1, and c = 4.
Substituting these values into the quadratic formula: