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Estimating Sum or Difference

Add the follo...

Question

Add the following
(i) $x - 3 y - 2 z$
$5 x + 7 y - 8 z$
$3 x - 2 y + 5 z$

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Solution

Given $x - 3 y - 2 z, 5 x + 7 y - 8 z, 3 x - 2 y + 5 z$
$\Rightarrow$ On adding given data
$\Rightarrow x - 3 y - 2 z + 5 x + 7 y - 8 z + 3 x - 2 y + 5 z$
$\Rightarrow x + 5 x + 3 x - 3 y + 7 y - 2 y - 2 z - 8 z + 5 z$
$\Rightarrow 9 x + 2 y - 5 z$ .

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Similar questions

\begin{matrix} x - 3 y - 2 z 5 x + 7 y - z - 7 x - 2 y + 4 z \end{matrix}

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3 x + 4 y + 5 z = 18, 2 x - y + 8 z = 13, 5 x - 2 y + 7 z = 20

Q. Add:
5x − 8y + 2z, 3z − 4y − 2x, 6y − z − x and 3x − 2z − 3y

Q. Show that each one of the following systems of linear equation is inconsistent:
(i) 2x + 5y = 7
6x + 15y = 13

(ii) 2x + 3y = 5
6x + 9y = 10

(iii) 4x − 2y = 3
6x − 3y = 5

(iv) 4x − 5y − 2z = 2
5x − 4y + 2z = −2
2x + 2y + 8z = −1

(v) 3x − y − 2z = 2
2y − z = −1
3x − 5y = 3

(vi) x + y − 2z = 5
x − 2y + z = −2
−2x + y + z = 4

Q. Solve the following equations by using Cramer's rule:

3 x + 4 y + 5 z = 18

2 x - y - 8 z = 13

5 x - 2 y + 7 z = 20

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