SOLUTION: This problem involves using substitution 16x-8y=48 -2x+y=6 I came up with 0=176, Is that correct?

Algebra ->  Radicals -> SOLUTION: This problem involves using substitution 16x-8y=48 -2x+y=6 I came up with 0=176, Is that correct?      Log On


   

Question 486580: This problem involves using substitution
16x-8y=48
-2x+y=6
I came up with 0=176, Is that correct?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

16x-8y=48..........1
-2x%2By=6+........2
-------------------------------
-2x%2By=6+........2...solve for y
y=2x%2B6+....substitute in 1

16x-8%282x%2B6%29=48..........1...solve for x
16x-16x-48=48
-48=48.......there are no solutions and the system is inconsistent
here is solution by graphing:
Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:


16x-8y=48

-2x%2By=6





In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


16x-8y=48 Start with the given equation



-8y=48-16x Subtract 16+x from both sides



-8y=-16x%2B48 Rearrange the equation



y=%28-16x%2B48%29%2F%28-8%29 Divide both sides by -8



y=%28-16%2F-8%29x%2B%2848%29%2F%28-8%29 Break up the fraction



y=2x-6 Reduce



Now lets graph y=2x-6 (note: if you need help with graphing, check out this solver)



+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x-6%29+ Graph of y=2x-6




So let's solve for y on the second equation


-2x%2By=6 Start with the given equation



1y=6%2B2x Add 2+x to both sides



1y=%2B2x%2B6 Rearrange the equation



y=%28%2B2x%2B6%29%2F%281%29 Divide both sides by 1



y=%28%2B2%2F1%29x%2B%286%29%2F%281%29 Break up the fraction



y=2x%2B6 Reduce





Now lets add the graph of y=2x%2B6 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x-6%2C2x%2B6%29+ Graph of y=2x-6(red) and y=2x%2B6(green)


From the graph, we can see that the two lines are parallel and will never intersect. So there are no solutions and the system is inconsistent.