Solve by substitution. 2x + y =- 1 -2y =-1+ 4x ONo solution O Infinite number of solutions

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Where I am having issues is what to do with the -2y. My professor did not go over what to do in that case. Please make work readable. Thank you for the help.
**Solve by Substitution**

Given the system of equations:

1. \(2x + y = -1\)
2. \(-2y = -1 + 4x\)

Solution options:

- [ ] (Text Box for Input)

- [ ] No solution
- [ ] Infinite number of solutions

To solve the system by substitution, follow these steps:

1. Solve the first equation for \(y\):
   \[
   y = -1 - 2x
   \]

2. Substitute this expression for \(y\) into the second equation:
   \[
   -2(-1 - 2x) = -1 + 4x
   \]

3. Simplify and solve for \(x\) and \(y\).
Transcribed Image Text:**Solve by Substitution** Given the system of equations: 1. \(2x + y = -1\) 2. \(-2y = -1 + 4x\) Solution options: - [ ] (Text Box for Input) - [ ] No solution - [ ] Infinite number of solutions To solve the system by substitution, follow these steps: 1. Solve the first equation for \(y\): \[ y = -1 - 2x \] 2. Substitute this expression for \(y\) into the second equation: \[ -2(-1 - 2x) = -1 + 4x \] 3. Simplify and solve for \(x\) and \(y\).
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