What is x-2y+3z=7,2x+y+z=4,-3x+2y-2z=-10 ?

The solution to x-2y+3z=7,2x+y+z=4,-3x+2y-2z=-10 is x=2,y=-1,z=1

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x-2y+3z=7,2x+y+z=4,-3x+2y-2z=-10

x - 2 y + 3 z = 7, 2 x + y + z = 4, - 3 x + 2 y - 2 z = - 10

x = 2, y = - 1, z = 1

Solution steps

x - 2 y + 3 z = 7 2 x + y + z = 4 - 3 x + 2 y - 2 z = - 10

Isolate

x

for

x - 2 y + 3 z = 7 : x = 7 + 2 y - 3 z

Substitute

x = 7 + 2 y - 3 z

[2 (7 + 2 y - 3 z) + y + z = 4 - 3 (7 + 2 y - 3 z) + 2 y - 2 z = - 10]

Simplify

[5 y - 5 z + 14 = 4 - 4 y + 7 z - 21 = - 10]

Isolate

y

for

5 y - 5 z + 14 = 4 : y = z - 2

Substitute

y = z - 2

[- 4 (z - 2) + 7 z - 21 = - 10]

Simplify

[3 z - 13 = - 10]

Isolate

z

for

3 z - 13 = - 10 : z = 1

For

y = z - 2

Substitute

z = 1

y = 1 - 2

Simplify

y = - 1

For

x = 7 + 2 y - 3 z

Substitute

y = - 1, z = 1

x = 7 + 2 (- 1) - 3 \cdot 1

7 + 2 (- 1) - 3 \cdot 1 = 2

x = 2

The solutions to the system of equations are:

x = 2, y = - 1, z = 1

4 x + 6 y = 10, 2 x - 3 y = 8

2 x + 3 y = 6, 3 x - 5 y = - 10

a + b = 12, a \cdot b = 36

5 x + 4 y = 3, 5 y^{2} x + 2 y = 16

x + y = 30, 0.8 - 0.5 y = - 2

What is x-2y+3z=7,2x+y+z=4,-3x+2y-2z=-10 ?
The solution to x-2y+3z=7,2x+y+z=4,-3x+2y-2z=-10 is x=2,y=-1,z=1