SOLUTION: Part 1: If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution(s) to this system? Part 2: Solve the following s

Algebra ->  Graphs -> SOLUTION: Part 1: If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution(s) to this system? Part 2: Solve the following s      Log On


   

Question 683695: Part 1:
If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution(s) to this system?
Part 2:
Solve the following system and show all of your work.
x − 2y = 14
x + 3y = 9
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Part One
That 1%3C%3E3, so there is no solution. The lines have the same slope and are parallel;
therefore they will not ever intersect.
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Part Two
x - 2y = 14
x + 3y = 9
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Subtract
x-x-2y-3y=14-9
-5y=5
y=-1
Use the y value in either of the lines and solve for x
x -2(-1)=14
x + 2 = 14
x = 14-2
x=12
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The solution to the system, or the point of intersection, is (12, -1)
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-Reading Boosters