SOLUTION: solve by the substitution method. 3x + 9y = 3 -4x + y = 22 The solution is ___? (type an ordered pair) Thank you =)

Algebra ->  Equations -> SOLUTION: solve by the substitution method. 3x + 9y = 3 -4x + y = 22 The solution is ___? (type an ordered pair) Thank you =)      Log On


   



Question 220923: solve by the substitution method.
3x + 9y = 3
-4x + y = 22
The solution is ___? (type an ordered pair)

Thank you =)

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
solve by the substitution method.
3x + 9y = 3
-4x + y = 22

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++3%5Cx+%2B+9%5Cy+=+3%2C%0D%0A++++-4%5Cx+%2B+1%5Cy+=+22+%29%0D%0A++We'll use substitution. After moving 9*y to the right, we get:
3%2Ax+=+3+-+9%2Ay, or x+=+3%2F3+-+9%2Ay%2F3. Substitute that
into another equation:
-4%2A%283%2F3+-+9%2Ay%2F3%29+%2B+1%5Cy+=+22 and simplify: So, we know that y=2. Since x+=+3%2F3+-+9%2Ay%2F3, x=-5.

Answer: system%28+x=-5%2C+y=2+%29.



SOLUTION: The ordered pair (x,y) is (-5,2)

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J