Question

Question 1: Classify the system of equations and identify the number of solutions. 3 = 4x + y 2y = 6 − 8x Answers: inconsistent; none consistent, independent; one consistent, dependent; one consistent, dependent; infinite Question 2: Using substitution, identify the ordered pair that is not an element of the solution set of the system of equations. 6x + 3y = 6 2x + y = 2 Answers: (0, 2) (1, 0) (2, −2) (−2, 0)

Answer 1

1st: consistent and dependent

2nd: (-2,0). Simply put the called and check.

Answer 2

Question 1 Answer: consistent, dependent; infinite

Question 2 Answer: (2, -2) y= 2 - 2x

Explanation:

Question 1 explanation: Solve the first equation for y.

3 = 4x + y

3 − 4x = y Subtract 4x from both sides.

y = 3 − 4x Rewrite the equation.

Simplify the second equation by dividing.

2y = 6 − 8x

y = 3 − 4x Divide both sides of the second equation by 2.

Rewrite the system.

y = 3 − 4x

y = 3 − 4x