What is 10x+8y+z=20,0x+y+z=100 ?

The solution to 10x+8y+z=20,0x+y+z=100 is x=(7z-780)/(10),y=100-z

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10x+8y+z=20,0x+y+z=100

10 x + 8 y + z = 20, 0 x + y + z = 100

x = \frac{7 z - 780}{10}, y = 100 - z

Solution steps

[10 x + 8 y + z = 20 0 \cdot x + y + z = 100]

Isolate

x

for

10 x + 8 y + z = 20 : x = \frac{20 - 8 y - z}{10}

Substitute

x = \frac{20 - 8 y - z}{10}

[0 \cdot \frac{20 - 8 y - z}{10} + y + z = 100]

Simplify

[y + z = 100]

Isolate

y

for

y + z = 100 : y = 100 - z

For

x = \frac{20 - 8 y - z}{10}

Expressing

x

in terms of

z

x = \frac{20 - 8 ( 100 - z ) - z}{10}

Simplify

\frac{20 - 8 ( 100 - z ) - z}{10} : \frac{7 z - 780}{10}

x = \frac{7 z - 780}{10}

The solutions to the system of equations are:

x = \frac{7 z - 780}{10}, y = 100 - z

3 x + 4 y + 10 = 0, x - y = 2

2 x + 3 y = 20, x - 2 y = 3

x + 4 y - 8 z = - 8, 4 x + 8 y - z = 76, 8 x - y - 4 z = 110

3 x + 5 y = 2, 9 x - y = - 1

2 x + 6 y = 22, 5 x - 2 y = 4

What is 10x+8y+z=20,0x+y+z=100 ?
The solution to 10x+8y+z=20,0x+y+z=100 is x=(7z-780)/(10),y=100-z