Finite Math Examples

$a = 6 i + 5 j$ , $b = 5 i + 4 j$

Step 1

Move variables to the left and constant terms to the right.

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Step 1.1

Subtract $5 j$ from both sides of the equation.

$a - 5 j = 6 i$

$b = 5 i + 4 j$

Step 1.2

Subtract $4 j$ from both sides of the equation.

$a - 5 j = 6 i$

$b - 4 j = 5 i$

$a - 5 j = 6 i$

$b - 4 j = 5 i$

Step 2

Write the system as a matrix.

$[\begin{array}{c} 1 & 0 & - 5 & 6 i \\ 0 & 1 & - 4 & 5 i \end{array}]$

Step 3

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

$a - 5 j = 6 i$

$b - 4 j = 5 i$

Step 4

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

$(6 i + 5 j, 5 i + 4 j, j)$