SOLUTION: HELP 1. Substitution Method: 7x + 3y = -9 -6y + y =22 Find the solution? 2. Solve and Graph 2x -14 _< -7 or x -4 _> 1 Solution is {x/x _< ? or x _> ?}

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Question 147586: HELP
1.
Substitution Method:
7x + 3y = -9
-6y + y =22
Find the solution?
2.
Solve and Graph
2x -14 _< -7 or x -4 _> 1
Solution is {x/x _< ? or x _> ?}


Answer by mangopeeler07(462)   (Show Source): You can put this solution on YOUR website!
1. Substitution Method:
.

-First combine like terms on the right side. You end up with . Then divide by -5 on both sides and get . Then since you have y, plug it in to the first equation and get . Then multiply -3 by -22/5. And get . Then it looks like this . Then add 66/5 to both sides and get . Then divide both sides by seven and get . So y=-22/5 and x=3.


2. Solve and Graph
2x -14 _< -7 or x -4 _> 1
Solution is {x/x _< ? or x _> ?}

divide both sides by 2 and get . Then subtract seven and get . add four to both sides . Graph them both as x=7/2 and x=5 first.
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
this equation defines a vertical line.

  • X intercept: 3.5. X intercept is the intersection of the line with the x axis.

  • Y intercept: not defined (the line IS vertical)

  • Slope: not defined, can be thought of as infinite


Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
this equation defines a vertical line.

  • X intercept: 5. X intercept is the intersection of the line with the x axis.

  • Y intercept: not defined (the line IS vertical)

  • Slope: not defined, can be thought of as infinite



Then since it is , shade every part of that graph to the left of x=7/2. Then since it is , shade every part of that graph to the right of x=5. Then you are done solving and graphing.
If you still need help graphing inequalities, check out my lesson:
http://www.algebra.com/algebra/homework/Graphs/Inequalities-Made-Easy.lesson

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