A system of two linear equations is graphed. The lines have the same slope, but different intercepts. How many solutions does the system have?
A.
0
B.
1
C.
2
D.
infinite

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Asked 4/1/2014 11:26:39 AM

Updated 4/1/2014 8:31:46 PM

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Question

Asked 4/1/2014 11:26:39 AM

Updated 4/1/2014 8:31:46 PM

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The type of system of linear equations y = –3x – 1, 3x + y = – 1 is: B. consistent and dependent.

Added 4/1/2014 8:31:46 PM

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Updated 4/1/2014 11:11:23 AM

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A boyar was a member of the highest rank of the feudal Bulgarian, Moscovian, Kievan Rus'ian, Wallachian, and Moldavian aristocracies, second only to the ruling princes, from the 10th century to the 17th century.

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For which system of equations is (2, 2) a solution?
A.
–3x + 3y = 0
x + 6y = 10
B.
–2x + 5y = –6
4x – 2y = 4
C.
5x – 2y = –6
3x – 4y = 2
D.
2x + 3y = 10
4x + 5y = 18 **Weegy:** ( 2, 3) is the solution to the system of equations D. x + 7y = 23 5x + 3y = 1 **User:** The graph of a system of two linear equations has no solution. What is true about the lines?
A.
The lines are perpendicular.
B.
The lines have the same slope, but different intercepts.
C.
The lines have the same intercept, but different slopes.
D.
The lines are on top of each other. **Weegy:** I'm assuming that you're doing two equations with two variables...ie x and y.
If two linear equations have a solution, then that solution is represented graphically by their intersection. [
If two linear equations have no solution, then that is represented graphically by the fact that they have NO intersection. And when two lines have no intersection, there's a special name for those two lines...parallel!
The third case is that if two linear equations have an "infinite" number of solutions. In that case, the graph is really just one line, drawn "twice"....the lines appear on top of each other. This would be the case if you had the graphs of x + y = 1 and 2x + 2y = 2. They're the same graph! There are an infinite set of ordered pairs (x,y) that add up to 1....like (0,1), (1,0), (-2, 3), etc. Please note...while there are an infinite number of solutions, that doesn't mean that EVERY pair (x,y) is a solution...only the pairs on the line are solutions...but they're solutions to BOTH equations!
Remember...when the graphs of two equations intersect, it means that the point (x,y) of their intersection is a solution to BOTH equations. You've probably been graphing lines forever. At some point you'll learn other graphs. Some of these graphs may not intersect...that means no solution. Some may intersect once, twice, three times...or even an infinite number of times. Each intersection represents a solution. ] **User:** A system of two linear equations is graphed. The lines have the same slope, but different intercepts. How many solutions does the system have? (More)

Question

Updated 4/1/2014 8:41:33 PM

3 Answers/Comments

(2, 2) is a solution to the system of equations: D. 2x + 3y = 10, 4x + 5y = 18.

2x + 3y = 10, multiply 2 on both sides: 4x + 6y = 20 (equation 1)

4x + 5y = 18 (equation 2)

Equation 1 - equation 2 we get: x = 2

2(2) + 3y = 10, solve the equation we get y = 2.

2x + 3y = 10, multiply 2 on both sides: 4x + 6y = 20 (equation 1)

4x + 5y = 18 (equation 2)

Equation 1 - equation 2 we get: x = 2

2(2) + 3y = 10, solve the equation we get y = 2.

Added 4/1/2014 8:36:15 PM

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Confirmed by jeifunk [4/1/2014 8:40:07 PM]

The graph of a system of two linear equations has no solution. The statement that is true about the lines is: B. The lines have the same slope, but different intercepts.

Added 4/1/2014 8:39:52 PM

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Confirmed by jeifunk [4/1/2014 8:40:07 PM]

A system of two linear equations is graphed. The lines have the same slope, but different intercepts. The system have NO SOLUTIONS.

Added 4/1/2014 8:41:33 PM

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Confirmed by andrewpallarca [5/31/2014 3:01:16 PM]

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