SOLUTION: Solve linear system -4x-3y=-27 -4x+4y=8

Question 214684: Solve linear system
-4x-3y=-27
-4x+4y=8
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Solve linear system

Equation A
Equation B

Step 1. Subtract Equation B from Equation A to get rid of x terms to get

Step 2. Divide by -7 to both sides to get

Step 3. Substitute y=5 into one of the equation to get x

{{-4x-3(5)=-27}}}

Step 4. Add 15 to both sides to get x-terms on the left side and numbers on the right side.

Step 5. Divide by -4 to both sides of equation to get x

Step 6. ANSWER: Solution is x=3 and y=5

We can also solve the equation using SUBSTITUTION:

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving -3*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=5. Since , x=3.

Answer: .

Same result as before.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

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