QQuestionMathematics
QuestionMathematics
What is the solution to the system of linear equations?
| | |
| --- | --- |
| 0 | ( - 3,0 ) |
| 0 | ( - 3,3 ) |
| 0 | ( 0,2 ) |
| 0 | ( 3,1 ) |
6 months agoReport content
Answer
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Step 1: Identify the system of linear equations from the given table.
The system of linear equations corresponding to the table is: \begin{align*} - 3x + y &= 0 \ 0x + 2y &= 2 \ 3x - y &= 1 \end{align*}
Step 2: Solve the system of linear equations for each variable.
First, let's solve the second equation for y: Now, substitute y = 1 into the first and third equations to solve for x: First equation: \begin{align*} - 3x + (1) &= 0 \ - 3x &= - 1 \ \end{align*} Third equation: \begin{align*} 3x - (1) &= 1 \ 3x &= 2 \ \end{align*} Since there are two different values for x, this system of linear equations has no solution, i.e., it is inconsistent.
Final Answer
The system of linear equations has no solution.
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