What is 3x+2y+z=14,5x-4y-z=4 ?

The solution to 3x+2y+z=14,5x-4y-z=4 is x=(-z+32)/(11),y=-(4z-29)/(11)

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3x+2y+z=14,5x-4y-z=4

3 x + 2 y + z = 14, 5 x - 4 y - z = 4

x = \frac{- z + 32}{11}, y = - \frac{4 z - 29}{11}

Solution steps

[3 x + 2 y + z = 14 5 x - 4 y - z = 4]

Isolate

x

for

3 x + 2 y + z = 14 : x = \frac{14 - 2 y - z}{3}

Substitute

x = \frac{14 - 2 y - z}{3}

[5 \cdot \frac{14 - 2 y - z}{3} - 4 y - z = 4]

Simplify

[\frac{- 22 y - 8 z + 70}{3} = 4]

Isolate

y

for

\frac{- 22 y - 8 z + 70}{3} = 4 : y = - \frac{4 z - 29}{11}

For

x = \frac{14 - 2 y - z}{3}

Expressing

x

in terms of

z

x = \frac{14 - 2 ( - \frac{4 z - 29}{11} ) - z}{3}

Simplify

\frac{14 - 2 ( - \frac{4 z - 29}{11} ) - z}{3} : \frac{- z + 32}{11}

x = \frac{- z + 32}{11}

The solutions to the system of equations are:

x = \frac{- z + 32}{11}, y = - \frac{4 z - 29}{11}

7 a + 5 b = 30, 2 a - 3 b = 18

4 x + 7 y = 41, 8 x - 6 y = 22

x - y + 2 = 0, 2 x + 3 y - 5 z = 0, 3 x - 4 y + 21 = - 1

p (x) = x^{3} + 3 x^{2} + 3 x + 1, 9 (x) = x + 2

2 x - y = 10, 3 x + y = 30

What is 3x+2y+z=14,5x-4y-z=4 ?
The solution to 3x+2y+z=14,5x-4y-z=4 is x=(-z+32)/(11),y=-(4z-29)/(11)