Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 5 - Solving Systems of Linear Equations - 5.2 - Solving Systems of Linear Equations by Substitution - Exercises - Page 245: 1

Answer

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Work Step by Step

To solve a system of Linear equations with substitution, you should: 1. Solve one of the equations for a variable 2. Substitute the new equation from step 1 into the other equation 3. Solve that equation algebraically 4. Substitute your answer from step 3 back into the first equation to find the other variable E.G. $x + y = 5$ $2x - y = 10$ Solve for x in the first equation $x=5-y$ Substitute the equation of x in terms of y into the second equation $2(5-y)-y=10$ $10-2y-y=10$ $-3y=0$ $y=0$ Substitute the value of y into the first equation to find x $x+0=5$ $x=5$ Write out the ordered pair $(x,y)=(5,0)$
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