AnswersAdv. Algebra II S1 OriginalSolving Linear Systems Graphically

Solving Linear Systems Graphically Answers

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78

no solution✔ exactly one solutioninfinitely many solutions

A
no solution
B
exactly one solution
C
infinitely many solutions
79

Which statements did you include in your answer?

A
The slopes are different.
B
The y-intercepts are different.
80

✔ intersect at one pointcoincideare parallel

A
intersect at one point
B
coincide
C
are parallel
99

Explain how you can determine that the following system has one unique solution – without actually solving the system.

Question illustration
Answer:

Rewrite both equations in slope-intercept form. Their slopes are −2 and −1, so the lines intersect at exactly one point. That intersection is the system’s unique solution.

100

Which statements did you include in your answer?

A
Write each equation in slope-intercept form.
B
Find that the slope of the first line is –2.
C
Find that the slope of the second line is –1.
D
Since the slopes of the lines are different, the lines must have a point of intersection.
E
The point of intersection is the unique solution.
102

How should you modify the graph to show the solution to the system of inequalities below? Check all that apply. [image 1] [image 2]

Question illustration
A
Shade above 2x + y = 4.
B
Shade below 2x + y = 4.
C
Shade above 2y = 6 – 2x.
D
Shade below 2y = 6 – 2x.
E
Make the boundary line 2x + y = 4 dashed.

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