Question

1- Determine x. v. z e t, sabendo que:

[ x y ] + [ x 3 ] = [ 10 1 ]
[ 3 2z ] [ t z ] [ 4 18 ]

x = 5; y = -2; t = 1 e z=6

x = 5; y = 2; t = 1 e z=6

x = -5; y = -2; t = -1 e z = 6

x = 7; y = -2; t = 2 ez=7

Answer 1

O valor de x, y, z e t são respectivamente: 5, -2, 1 e 6, primeira alternativa.

A tarefa aborda adição de matrizes 2 x 2.

$\left[\begin{array}{ccc}x&y\\3&2 \cdot z \end{array}\right] +\left[\begin{array}{ccc}x&y\\t&z \end{array}\right] =\left[\begin{array}{ccc}10&1\\4&18 \end{array}\right]$

Resolvendo temos:

$\left[\begin{array}{ccc}x+x=10&y+3=1\\3+t=4&2 \cdot z + z=18\end{array}\right]$

• Calculando o valor de x

$\sf x +x=10\\\\2\cdot x =10\\\\x= \dfrac{10}{2} \\\\\boxed{\sf x= 5}$

• Calculando o valor de y

$\sf y+3=1\\\\y = 1-3\\\\\boxed{\sf y= -2}$

• Calculando o valor de t.

$\sf 3+t=4\\\\t= 4-3\\\\\boxed{\sf t = 1}$

• Calculando o valor de z

$\sf 2\cdot z +z=18\\\\3 \cdot z = 18\\\\z=\dfrac{18}{3}\\\\\boxed{\sf z = 6}$

Continue estudando:

brainly.com.br/tarefa/44156913