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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![**Question 20:** Is (4, 1) a solution to the system of equations below?
\[
\begin{align*}
x + 2y &= 5 \\
-2x + 3y &= -3
\end{align*}
\]
To determine if (4, 1) is a solution, substitute \(x = 4\) and \(y = 1\) into both equations and check for validity.
1. **First Equation**:
\[
4 + 2(1) = 4 + 2 = 6 \neq 5
\]
The first equation is not satisfied.
2. **Second Equation**:
\[
-2(4) + 3(1) = -8 + 3 = -5 \neq -3
\]
The second equation is not satisfied.
Therefore, (4, 1) is not a solution to the system of equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47233639-9d53-42f0-bc37-bcddb016235d%2F98dfe726-1e18-4047-b56d-8f28aad8ac56%2F1xm9tpv.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 20:** Is (4, 1) a solution to the system of equations below?
\[
\begin{align*}
x + 2y &= 5 \\
-2x + 3y &= -3
\end{align*}
\]
To determine if (4, 1) is a solution, substitute \(x = 4\) and \(y = 1\) into both equations and check for validity.
1. **First Equation**:
\[
4 + 2(1) = 4 + 2 = 6 \neq 5
\]
The first equation is not satisfied.
2. **Second Equation**:
\[
-2(4) + 3(1) = -8 + 3 = -5 \neq -3
\]
The second equation is not satisfied.
Therefore, (4, 1) is not a solution to the system of equations.
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