SOLUTION: what are all ordered pairs of a numbers (x,Y) which satisfy both x(x+y)=9 and y(x+y)=16

Question 221114: what are all ordered pairs of a numbers (x,Y) which satisfy both x(x+y)=9 and y(x+y)=16
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
what are all ordered pairs of a numbers (x,Y) which satisfy both x(x+y)=9 and y(x+y)=16

Step 1. or . Solving for

Step 2. .

Step 3. Substitute from Step 1 into Step 2

after subtracting 9 from both sides of the equation

Step 4. Now in Step 1, and substitute into Step 2 to yield

or

Step 5. Substitute into Step 3.

Step 6. Multiply to both sides to get rid of denominator

or

or

Step 7. The ordered pairs are (1.8, 3.2) and (-1.8, -3.2).

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

drjctu@gmail.com

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