Question

What are the ordered pair solutions
for this system of equations

Answer 1

Answer: OPTION (B): X^2 + X - 2 = 0

Hence, The ordered pair solution for: Y = -X^2 + 2, Y = X ------> IS: OPTION (B): X^2 + X - 2 = 0

• Explanation:

SOLVE THE SYSTEM OF EQUATION PROBLEM:

Y = -X^2 + 2

Y = X

• (A) : X = -X^2 + 2

• (B): X^2 + X - 2 = 0

• The ordered pair of solutions are:

X^2 + 2X - 2 = 0

X (X + 2 ) - 1 (X + 2 ) = 0

(X + 2 ) (X - 1 ) = 0

• NOW:

X = -2

X = 1

• Therefore:

OPTION (B): X^2 + X - 2 = 0

• Draw The Conclusion:

Hence, The ordered pair solution for: Y = -X^2 + 2, Y = X ------> IS: OPTION (B): X^2 + X - 2 = 0

I hope this helps you!