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)

1st: consistent and dependent

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

Question 1 consistent, dependent; infinite

Question 2 (2, -2)  y= 2 - 2x  

Step-by-step explanation:

Question 1 explanation: Solve the first equation for y.

3=4x + y    

3 − 4x=ySubtract 4x from both sides.  

y=3 − 4xRewrite the equation.

Simplify the second equation by dividing.

2y =6 − 8x

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

Rewrite the system.

y = 3 − 4x

y = 3 − 4x