SOLUTION: What is the system and it's solution of x+4y=12 y=-x

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Question 220890: What is the system and it's solution of
x+4y=12
y=-x
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
What is the system and it's solution of
x+4y=12 Equation A
y=-x OR -x-y=0 Equation B

Step 1. Add the above linear equations A and B yields x+(-x)+4y+(-y)=12+0 or 3y=12.

Step 2. Dividing 3 to both sides of the equation

3y%2F3=12%2F3

y=4 and x=-y=-4

Step 3. Check B: -4+4*4=12... a true statement.

Step 4. ANSWER: The solution is x=-4 and y=4 or (-4,4).

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J