What is 2x+y+3z=6,5x-2y+3z=6 ?

The solution to 2x+y+3z=6,5x-2y+3z=6 is x=2-z,y=-z+2

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2x+y+3z=6,5x-2y+3z=6

2 x + y + 3 z = 6, 5 x - 2 y + 3 z = 6

x = 2 - z, y = - z + 2

Solution steps

[2 x + y + 3 z = 6 5 x - 2 y + 3 z = 6]

Isolate

x

for

2 x + y + 3 z = 6 : x = \frac{6 - y - 3 z}{2}

Substitute

x = \frac{6 - y - 3 z}{2}

[5 \cdot \frac{6 - y - 3 z}{2} - 2 y + 3 z = 6]

Simplify

[\frac{- 9 y - 9 z + 30}{2} = 6]

Isolate

y

for

\frac{- 9 y - 9 z + 30}{2} = 6 : y = - z + 2

For

x = \frac{6 - y - 3 z}{2}

Expressing

x

in terms of

z

x = \frac{6 - ( - z + 2 ) - 3 z}{2}

Simplify

\frac{6 - ( - z + 2 ) - 3 z}{2} : 2 - z

x = 2 - z

The solutions to the system of equations are:

x = 2 - z, y = - z + 2

2 y + x = 1, 1 y + x = 7

x + \frac{y}{3} = y + \frac{2}{7}, x = 3 y + \frac{1}{2}

2 x + y = 7, 3 x - y = 3

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

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

What is 2x+y+3z=6,5x-2y+3z=6 ?
The solution to 2x+y+3z=6,5x-2y+3z=6 is x=2-z,y=-z+2