Matemática discreta Ejemplos

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

Paso 1

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

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Paso 1.1

Resta $z$ de ambos lados de la ecuación.

$x - z = 8$

$y = 90 - 2 z$

Paso 1.2

Suma $2 z$ a ambos lados de la ecuación.

$x - z = 8$

$y + 2 z = 90$

$x - z = 8$

$y + 2 z = 90$

Paso 2

Write the system as a matrix.

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

Paso 3

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

$x - z = 8$

$y + 2 z = 90$

Paso 4

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

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