Question

1.2.6:Determie os valores de a,b,ced,caso existam,para que a sentença [a+1 3c-4 b-3 5-d]+[2+3a 2c-1 2b+3 4+5d]=[2 2 4 3] seja verdadeira
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Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\begin{bmatrix}\cancel a + 1&\cancel 3c - 4\\\cancel b - 3&\cancel 5 - d\end{bmatrix} + \begin{bmatrix}\cancel 2 + 3a&\cancel 2c - 1\\\cancel 2b + 3&\cancel 4 + 5d\end{bmatrix} = \begin{bmatrix}\cancel 2&\cancel 2\\\cancel 4&\cancel 3\end{bmatrix}$

$\mathsf{(a + 1) + (2 + 3a) = 2}$

$\mathsf{4a + 3 = 2}$

$\mathsf{4a = -1}$

$\boxed{\boxed{\mathsf{a = -\dfrac{1}{4}}}}$

$\mathsf{(b - 3) + (2b + 3) = 4}$

$\mathsf{3b = 4}$

$\boxed{\boxed{\mathsf{b = \dfrac{4}{3}}}}$

$\mathsf{(3c - 4) + (2c - 1) = 2}$

$\mathsf{5c - 5 = 2}$

$\mathsf{5c = 7}$

$\boxed{\boxed{\mathsf{c = \dfrac{7}{5}}}}$

$\mathsf{(5 - d) + (4 + 5d) = 3}$

$\mathsf{4d + 9 = 3}$

$\mathsf{4d = -6}$

$\boxed{\boxed{\mathsf{d = -\dfrac{3}{2}}}}$