Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations in Two Variables - Exercise Set - Page 214: 92b

Answer

$$(-249/380, 9873/4)$$

Work Step by Step

We plug one equation into the other to find the intersection point: $$(-95x+2406)=285x+2655$$ We now solve for x. To do this, get x on one side, and the numbers on the other side. Now, we use PEMDAS, a method for simplification. This acronym reminds us that we must first address parentheses, and then exponents. Next, we address multiplication and division, going from left to right. Lastly, we simplify addition and subtraction from left to right. This gives: $$ x = -249/380$$ We plug this back into another equation to find: $$y = (-95)(-249/380)+2406=9873/4$$
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