Answer:
Option D.
Step-by-step explanation:
The given equations are y = 3x² - 2x - 1 -------(1)
and y = x - 1 --------(2)
To evaluate the solutions of the equation by substitution method we will substitute the value of y from equation (2) to equation (1)
x - 1 = 3x² - 2x - 1
3x² - 2x - x - 1 + 1 = 0
3x² - 3x = 0
3x(x - 1) = 0
x = 0
(x - 1) = 0
x = 1
For x = 0,
y = 0 - 1 = -1
for x = 1,
y = 1 - 1 = 0
Therefore, solutions for the equations are (0, -1) and (1, 0).
Option D is the answer.
