Question 1 (Multiple Choice Worth 1 points)

(8.03 LC)

A set of equations is given below:

Equation E: a = 5b + 1
Equation F: a = 3b + 4

Which statement describes a step that can be used to find the solution to the set of equations?

Equation F can be written as 5b + 1 = 3b + 4.
Equation F can be written as b + 1 = 3b + 4.
Equation F can be written as a = 3(a − 1) + 4.
Equation F can be written as a = 5(a − 4) + 1.

Question 2 (Multiple Choice Worth 1 points)

(8.03 LC)

A set of equations is given below:

Equation C: y = 7x + 12
Equation D: y = 7x + 2

How many solutions are there to the given set of equations?

One solution
Two solutions
Infinitely many solutions
No solution

Question 3 (Multiple Choice Worth 1 points)

(8.03 MC)

Two equations are given below:

m + 4n = 8
m = n − 2

What is the solution to the set of equations in the form (m, n)?

(4, 6)
(2, 4)
(0, 2)
(6, 8)

Question 5 (Multiple Choice Worth 1 points)

(8.01 LC)

Line A is represented by the equation given below:

x + y = 3

What is most likely the equation for line B, so that the set of equations has infinitely many solutions?

3x + 3y = 3
3x + y = 3
x + y = 9
3x + 3y = 9