Finite Math Examples

$x = z + 8$ , $y = 90 - 2 z$

Step 1

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

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Step 1.1

Subtract $z$ from both sides of the equation.

$x - z = 8$

$y = 90 - 2 z$

Step 1.2

Add $2 z$ to both sides of the equation.

$x - z = 8$

$y + 2 z = 90$

$x - z = 8$

$y + 2 z = 90$

Step 2

Write the system as a matrix.

$[\begin{array}{c} 1 & 0 & - 1 & 8 \\ 0 & 1 & 2 & 90 \end{array}]$

Step 3

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

$x - z = 8$

$y + 2 z = 90$

Step 4

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

$(8 + z, 90 - 2 z, z)$