Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.1 - Systems of Linear Equations in Two Variables - 10.1 Exercises - Page 688: 11

Answer

x = -3 y = 2

Work Step by Step

1. Decide what variable you want to solve for. I decided to solve for the variable X 2. To cancel out the X variables, I am going to multiply the top equation by 2 since we want to make sure the X variables have the same constant out in front to cancel them out 3. Multiplying by 2 for the first equation should get you 6X - 4Y = -26 4. Now, since the X variables have opposite signs, we are gonna add the equations together to cancel out the X variable's 5. Adding the equations together, the X variables will cancel out, leaving us with Y = 2 6. Now plug in Y = 2 into either equation, I plugged it into the first equation. 7. Plugging Y = 2 into the first equation should result in 3X - 4 = -13, or X = -3 8. Plugging in Y = 2 into the second equation should get you the same result 9. That is how you get X = -3 and Y = 2
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