Solve the following system of equations. 6x-2y=8 9x-3y=12

BolkowN 2020-12-24 Answered
Solve the following system of equations.
6x-2y=8
9x-3y=12
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Corben Pittman
Answered 2020-12-25 Author has 83 answers
Step 1
We will solve this by elimination. We will try to eliminate y.
We multiply the first equation by 3 and the second equation by -2
3(6x2y=8)18x6y=24
2(9x3y=12)18x+6y=24
Step 2
Then if we add the two equations then we get
18x-6y=24
-18x+6y=-24
0=0
Which is always true.
So there are infinitely many solutions to the system of equations.
We solve y for x
6x-2y=8
2y=6x-8
y=6x82
y=3x-4
Result: There are infinitely many solutions of the form y=3x-4, where x=any real number.
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-11-08 Author has 2087 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more