Solving Linear Systems Graphically

Question 1

Analyze the solution set of the following system by following the given steps. 2x + y = 5 3y = 9 − 6x Write each equation in slope-intercept form. y = x + y = x +

Revolt · Accepted Answer

-2; 4

Question 2

✔ no solution.exactly one solution.infinitely many solutions.

Revolt · Accepted Answer

✔ no solution.

Question 3

Question 3

Revolt · Accepted Answer

-2

Question 4

Question 4

Revolt · Accepted Answer

-3

Question 5

What do the equations have in common? How are they different?

Revolt · Accepted Answer

The equations have the same slope, -2, but they have different y-intercepts. The y-intercepts are 4 and -2.

Question 6

Question 6

Revolt · Accepted Answer

The system represents lines that , therefore the system has .: intersect at one point; The system represents lines that , therefore the system has .: exactly one solution

Question 7

intersect at one pointcoincide✔ are parallel

Revolt · Accepted Answer

✔ are parallel; The system represents lines that , therefore the system has .: are parallel; The system represents lines that , therefore the system has .: no solution.

Question 8

Solve the system. 2x + y = −3 −2y = 6 + 4x Write each equation in slope-intercept form. y = x + y = x +

Revolt · Accepted Answer

-2; -3

Question 9

intersect at one point✔ coincideare parallel

Revolt · Accepted Answer

✔ coincide; The system represents lines that , therefore the system has .: coincide; The system represents lines that , therefore the system has .: infinitely many solutions.

Question 10

Consider the system:y = 3x + 5y = ax + bWhat values for a and b make the system inconsistent? What values for a and b make the system consistent and dependent? Explain.

Revolt · Accepted Answer

I need more time to think about this question.

Solving Linear Systems Graphically Answers

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