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What are the solutions to the system of equations?
y=x^2-5x+6
y=-4x+6

A (0,6) and (1,2)
B (-1,0) and (6,0)
C (-1,0) and (0,6)
D (0,-1) and (6,0)​

Sagot :

Step-by-step explanation:

y = x² - 5x + 6

y = -4x + 6

x² - 5x + 6 = -4x + 6

x² - x = 0

x(x - 1) = 0

x = 0 and x = 1

y = -4x + 6 and y = -4x + 6

y = -4(0) + 6 and y = -4(1) + 6

y = 0 + 6 and y = -4 + 6

y = 6 and y = 2

Solution = (0,6) and (1,2)

Option → A