Question

Question 1(Multiple Choice Worth 5 points)

(8.01 LC)

Two lines, A and B, are represented by the equations given below:

Line A: x + y = 2
Line B: 2x + y = 4

Which statement is true about the solution to the set of equations?
There are infinitely many solutions.
There are two solutions.
There is one solution.
There is no solution.

Question 7(Multiple Choice Worth 5 points)
(8.02 MC)

Which of the following graphs shows a pair of lines that represent the equations with a solution (−5, 2)?

A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the right and 5 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 units to the right and 2 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 units to the left and 2 units up.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the left and 5 units up.

Question 9(Multiple Choice Worth 5 points)
(8.03 LC)

A set of equations is given below:

Equation C: y = 2x + 6
Equation D: y = 2x + 2

Which of the following best describes the solution to the given set of equations?
One solution
Two solutions
No solution
Infinitely many solutions

Question 11(Multiple Choice Worth 5 points)
(8.01 MC)

Two lines, C and D, are represented by the equations given below:

Line C: y = x + 12
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why?
(4, 14), because one of the lines passes through this point
(4, 14), because the point lies between the two axes
(5, 17), because both lines pass through this point
(5, 17), because the point does not lie on any axis

Answer 1

Question 1:

Substitution.

x+y=2

y=-x+2

2x+(-x+2)=4

x=2

(2)+y=2

y=0

Solution: (2,0)

There is one solution

Question 7 is too confusing, just find where the points intersect at (-5,2).

Question 9:

Elimination.

(-1)y=2x+6

y=2x+2

New: -y=-2x-6

0=-4

No Solution

Question 11:

Just look at explanations.

It's (5,17) both lines etc..