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Popular >

x+y+z=4,x+y-z=6

Solution

x + y + z = 4, x + y - z = 6

Solution

x = - y + 5, z = - 1

Solution steps

[x + y + z = 4 x + y - z = 6]

Isolate

x

for

x + y + z = 4 : x = 4 - y - z

Substitute

x = 4 - y - z

[4 - y - z + y - z = 6]

Simplify

[- 2 z + 4 = 6]

Isolate

z

for

- 2 z + 4 = 6 : z = - 1

For

x = 4 - y - z

Expressing

x

in terms of

y

x = 4 - y - (- 1)

Simplify

4 - y - (- 1) : - y + 5

x = - y + 5

The solutions to the system of equations are:

x = - y + 5, z = - 1

Popular Examples

5x^2+21x-11y=2x-1,y=1

5 x^{2} + 21 x - 11 y = 2 x - 1, y = 1

q(x)=2,x^2+6r(x)=-2

q (x) = 2, x^{2} + 6 r (x) = - 2

x_{1} = - 5, x^{2} = 3

x - 2 y = 1, x y = 3

x+y=3,x^2+y^2=2

x + y = 3, x^{2} + y^{2} = 2

Frequently Asked Questions (FAQ)

What is x+y+z=4,x+y-z=6 ?
The solution to x+y+z=4,x+y-z=6 is x=-y+5,z=-1