Explanation Procedure used: Step1: Pick one of the equations and solve for one of the variables in terms of the remaining variables. Step2: Substitute the result into the remaining equations. Step3: If one equation in one variable results, solve this equation. Otherwise, repeat steps 1 and 2 until a single equation with one variable remains. Step4: Find the values of the remaining variables by back substitutions. Step5: Check the solution found. Calculation: Given system of equation is { y = 2 x − 5 x = 3 y + 4 . Solve the equation by substitution method. Substitute y = 2 x − 5 in the equation x = 3 y + 4 . x = 3 ( 2 x − 5 ) + 4 x = 6 x − 15 + 4 x = 6 x − 11 x − 6 x = − 11 On further simplification, − 5 x = − 11 x = − 11 − 5 x = 11 5 Substitute x = 11 5 in the equation x = 3 y + 4 . x = 3 y + 4 11 5 = 3 y + 4 11 5 − 4 = 3 y 11 − 20 5 = 3 y On further simplification, 3 y =

College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series)

7th Edition

ISBN: 9780134111315

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 8, Problem 4RE

To determine

To solve: The system of equation {y=2x−5x=3y+4.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8, Problem 3RE

Chapter 8, Problem 5RE

Students have asked these similar questions

Q1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N then dim M = dim N but the converse need not to be true. B: Let A and B two balanced subsets of a linear space X, show that whether An B and AUB are balanced sets or nor. Q2: Answer only two A:Let M be a subset of a linear space X, show that M is a hyperplane of X iff there exists ƒ€ X'/{0} and a € F such that M = (x = x/f&x) = x}. fe B:Show that every two norms on finite dimension linear space are equivalent C: Let f be a linear function from a normed space X in to a normed space Y, show that continuous at x, E X iff for any sequence (x) in X converge to Xo then the sequence (f(x)) converge to (f(x)) in Y. Q3: A:Let M be a closed subspace of a normed space X, constract a linear space X/M as normed space B: Let A be a finite dimension subspace of a Banach space X, show that A is closed. C: Show that every finite dimension normed space is Banach space.

• Plane II is spanned by the vectors: P12 P2 = 1 • Subspace W is spanned by the vectors: W₁ = -- () · 2 1 W2 = 0

Three streams - Stream A, Stream B, and Stream C - flow into a lake. The flow rates of these streams are not yet known and thus to be found. The combined water inflow from the streams is 300 m³/h. The rate of Stream A is three times the combined rates of Stream B and Stream C. The rate of Stream B is 50 m³/h less than half of the difference between the rates of Stream A and Stream C. Find the flow rates of the three streams by setting up an equation system Ax = b and solving it for x. Provide the values of A and b. Assuming that you get to an upper-triangular matrix U using an elimination matrix E such that U = E A, provide also the components of E.

Chapter 8 Solutions

College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series)

Ch. 8.1 - Solve the equation: . (pp. 82-85) Ch. 8.1 - Prob. 2AYU Ch. 8.1 - Prob. 3AYU Ch. 8.1 - Prob. 4AYU Ch. 8.1 - Prob. 5AYU Ch. 8.1 - If the lines that make up a system of two linear...Ch. 8.1 - If a system of two linear equations in two...Ch. 8.1 - Prob. 8AYU Ch. 8.1 - Prob. 9AYU Ch. 8.1 - Prob. 10AYU

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The system of equation { y = 2 x − 5 x = 3 y + 4 .

Videos

To solve: The system of equation {y=2x−5x=3y+4.

Want to see the full answer?

Chapter 8 Solutions