To Solve: The given systems of linear equations by substitution.
Answer to Problem 10E
The required solution is
Explanation of Solution
Given information:
The system of linear equations:
Calculation:
(Equation 1)
(Equation 2)
Equation 2 is already solved for y.
Substitute -3x for y in equation 1 and solve for x.
(Equation 1)
(Add 3x onn each side)
(Simplify)
(Add 9 on each side)
(Simplify)
(Divideeach side by 9)
(Simplify)
Substitute 1 for x in equation 2 and solve for y.
(Equation 2)
(Substitute 1 for x)
(Simplify)
Therefore, the solution is
Check:
Equation 1
(Substitute the values of x and y)
(Simplify)
Hence correct.
Equation 2
(Substitute the values of x and y)
(Simplify)
Hence, the solution is correct.
Chapter 5 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education