Question

Use the substitution method to find the solution(s) to the system of equations. Show all work for full credit.
y = x^2
y = x + 2 Use the substitution method to find the solution(s) to the system of equations. Show all work for full credit.
y = x^2
y = x + 2 @Mathematics

Answer 1

-x - 1 = x² - 1

Then,

0 = x² - 1 + x + 1
0 = x² + x
0 = x(x + 1)
x = {0,-1}

Next, by substituting those values for either equation:

y = -0 - 1 = -1
y = -(-1) - 1 = 0

Hence, the solutions are (0,-1) and (-1,0)

Answer 2

\[x^2 = x+2\]\[x^2 - x - 2 = 0\]\[(x -2)(x+1) =0\]\[x = 2, -1\]\[substitute => (2,4), (-1,1)\]