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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![Sure! Here is the transcription of the image for an educational setting:
---
**Solve the system by substitution.**
\[
-2x - 5y = 3
\]
\[
3x + 8y = -6
\]
**The solution is \((\_\_, \_\_)\).**
---
**Explanation of the Method:**
To solve this system of equations using substitution, follow these steps:
1. **Solve one of the equations for one variable** in terms of the other.
2. **Substitute** this expression into the other equation.
3. **Solve** the resulting equation for the single variable.
4. **Substitute** the value found back into one of the original equations to solve for the other variable.
5. **Check** the solution by plugging the values back into both original equations.
Note: There are no graphs or diagrams in this image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47233639-9d53-42f0-bc37-bcddb016235d%2F9b7f3b5e-cfc0-4d15-a7ca-21a4042d11f6%2Fnkczo2h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Sure! Here is the transcription of the image for an educational setting:
---
**Solve the system by substitution.**
\[
-2x - 5y = 3
\]
\[
3x + 8y = -6
\]
**The solution is \((\_\_, \_\_)\).**
---
**Explanation of the Method:**
To solve this system of equations using substitution, follow these steps:
1. **Solve one of the equations for one variable** in terms of the other.
2. **Substitute** this expression into the other equation.
3. **Solve** the resulting equation for the single variable.
4. **Substitute** the value found back into one of the original equations to solve for the other variable.
5. **Check** the solution by plugging the values back into both original equations.
Note: There are no graphs or diagrams in this image.
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