What is x+y+z=6,x+2y+3z=1,4x+4y+7z=30 ?

The solution to x+y+z=6,x+2y+3z=1,4x+4y+7z=30 is x=13,y=-9,z=2

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x+y+z=6,x+2y+3z=1,4x+4y+7z=30

x + y + z = 6, x + 2 y + 3 z = 1, 4 x + 4 y + 7 z = 30

x = 13, y = - 9, z = 2

Solution steps

x + y + z = 6 x + 2 y + 3 z = 1 4 x + 4 y + 7 z = 30

Isolate

x

for

x + y + z = 6 : x = 6 - y - z

Substitute

x = 6 - y - z

[6 - y - z + 2 y + 3 z = 1 4 (6 - y - z) + 4 y + 7 z = 30]

Simplify

[y + 2 z + 6 = 1 3 z + 24 = 30]

Isolate

z

for

3 z + 24 = 30 : z = 2

Substitute

z = 2

[y + 2 \cdot 2 + 6 = 1]

Simplify

[y + 10 = 1]

Isolate

y

for

y + 10 = 1 : y = - 9

For

x = 6 - y - z

Substitute

y = - 9, z = 2

x = 6 - (- 9) - 2

Simplify

x = 13

The solutions to the system of equations are:

x = 13, y = - 9, z = 2

m + n = 38, 2 m - 4 n = - 8

x + y = 16, 5 x + 2 y = 50

x + y = 20, x - y = 8

3 x + y = - 5, - 5 x + 2 y = - 19

x - y = 4, x + y = 30, r = 30 - x

What is x+y+z=6,x+2y+3z=1,4x+4y+7z=30 ?
The solution to x+y+z=6,x+2y+3z=1,4x+4y+7z=30 is x=13,y=-9,z=2