Problem 54
Question
What is a system of linear equations? Provide an example with your description.
Step-by-Step Solution
Verified Answer
A system of linear equations is a collection of two or more linear equations that involve the same set of variables; for example, the system \[ 2x+3y=6, \] \[ 3x-4y=12 \].
1Step 1: Define the System of Linear Equations
A system of linear equations is a collection of two or more linear equations involving the same set of variables.
2Step 2: Illustrate mathematically
It can be represented in the form: \[ ax+by=c, \] \[ dx+ey=f \]
3Step 3: Example of a System of Linear Equations
For example, the following constitutes a system of linear equations: \[ 2x+3y=6, \] \[ 3x-4y=12 \] This refers to two equations involving the same variables, x and y.
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