Finite Math Examples

$m = 3$ , $b = 7$

Step 1

Write the system as a matrix.

$[\begin{array}{c} 0 & 1 & 3 \\ 1 & 0 & 7 \end{array}]$

Step 2

Find the reduced row echelon form.

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Step 2.1

Swap $R_{2}$ with $R_{1}$ to put a nonzero entry at $1, 1$ .

$[\begin{array}{c} 1 & 0 & 7 \\ 0 & 1 & 3 \end{array}]$

Step 3

Use the result matrix to declare the final solution to the system of equations.

$b = 7$

$m = 3$

Step 4

The solution is the set of ordered pairs that make the system true.

$(7, 3)$