SOLUTION: Can someone please help? Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.Show all work 10x – 4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone please help? Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.Show all work 10x – 4       Log On


   

Question 408270: Can someone please help?
Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.Show all work
10x – 4 = 2y
2y – 10x = 2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.Show all work
10x – 4 = 2y
2y – 10x = 2
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It's your option to solve for "x" or for "y";
Solving the 2nd for y you would get:
y = 5x+1
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Substitute into the 1st equation and solve for "x":
10x - 4 = 2(5x+1)
10x - 4 = 10x + 2
-4 = 2
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That is a contradiction.
I assumed the x in both equations and the y in
both equations could be the same. They cannot.
The system is inconsistent. The lines are parallel.
There is no solution.
Cheers,
Stan H.