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 +
Question text not available
-2
Question text not available
3
What do the equations have in common? How are they different?
The equations have the same slope, -2, but different y-intercepts, 5 and 3.
Question text not available
intersect at one pointcoincide✔ are parallel
✔ no solution.exactly one solution.infinitely many solutions.
Which statements did you include in your answer?
Solve the system. 2x + y = −3 −2y = 6 + 4x Write each equation in slope-intercept form. y = x + y = x +
Question text not available
-3
Question text not available
-2
Question text not available
-3
What do the equations have in common?
They have the same slope, −2, and the same y-intercept, −3, so they represent the same line.
intersect at one point✔ coincideare parallel
no solution.exactly one solution.✔ infinitely many solutions.
Which statements did you include in your answer?
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.
The system is inconsistent when a = 3 and b ≠ 5. It is consistent and dependent when a = 3 and b = 5.
Which statements did you include in your answer?



Solve the system. 2x + y = 3 −2y = 14 − 6x Write each equation in slope-intercept form. y = x + y = x + How do the slopes and y–intercepts of the two equations compare?
Did you find these answers helpful?