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Addition and Subtraction of Algebraic Expression

Find the valu...

Question

Find the value of the addition of $(x - 3 y + 4 z), (y - 2 x - 8 z), (5 x - 2 y - 3 z)$

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Solution

We have,
$x - 3 y + 4 z, y - 2 x - 8 z, 5 x - 2 y - 3 z$

According to the question,
$\Rightarrow x - 3 y + 4 z + y - 2 x - 8 z + 5 x - 2 y - 3 z$

$\Rightarrow 4 x - 4 y - 7 z$

Hence, this is the answer.

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Similar questions

Q. Solve the system of equations

x + 2 y + 3 z = 1 2 x + 3 y + 2 z = 2 3 x + 3 y + 4 z = 1

Find the value of

14 (x + y + z)

2 x - 3 y + 4 z = 0

7 x + 2 y - 6 z = 0

4 x + 3 y + z = 37

Q. Solve the following system of equations by matrix method:
(i) x + y − z = 3
2x + 3y + z = 10
3x − y − 7z = 1

(ii) x + y + z = 3
2x − y + z = − 1
2x + y − 3z = − 9

(iii) 6x − 12y + 25z = 4
4x + 15y − 20z = 3
2x + 18y + 15z = 10

(iv) 3x + 4y + 7z = 14
2x − y + 3z = 4
x + 2y − 3z = 0

(v)

\frac{2}{x} - \frac{3}{y} + \frac{3}{z} = 10 \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 10 \frac{3}{x} - \frac{1}{y} + \frac{2}{z} = 13

(vi) 5x + 3y + z = 16
2x + y + 3z = 19
x + 2y + 4z = 25

(vii) 3x + 4y + 2z = 8
2y − 3z = 3
x − 2y + 6z = −2

(viii) 2x + y + z = 2
x + 3y − z = 5
3x + y − 2z = 6

(ix) 2x + 6y = 2
3x − z = −8
2x − y + z = −3

(x) x − y + z = 2
2x − y = 0
2y − z = 1

(xi) 8x + 4y + 3z = 18
2x + y +z = 5
x + 2y + z = 5

(xii) x + y + z = 6
x + 2z = 7
3x + y + z = 12

(xiii)

\frac{2}{x} + \frac{3}{y} + \frac{10}{z} = 4, \frac{4}{x} - \frac{6}{y} + \frac{5}{z} = 1, \frac{6}{x} + \frac{9}{y} - \frac{20}{z} = 2; x, y, z \neq 0

(xiv) x − y + 2z = 7
3x + 4y − 5z = −5
2x − y + 3z = 12

5 x - 4 y - {7 x - (3 z - 2 y) + 4 z - 3 (x + 3 y - 2 z)}] =

State whether the given statement is true or false

(x + 2 y + z) - (- x - y - 3 z) = 2 x + 3 y + 4 z

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