Question

What is the solution to this system of equations?

Answer 1

The solution is, there are infinitely many solutions to the system.

What is equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given:

3x - y + 4z = -10...(1)

-x + y + 2z = 6...(2)

2x - y + z = -8....(3)

From (1)

-y= -10-4z-3x

y= 10+4z+3x

from (2)

y=6-2z+x

equating above equations

10+4z+3x = 6-2z+x

4+6z+2x=0

x+3z+2=0

Now, from (3)

-y= -8-z-2x

y= 8+z+2x

again equating

6-2z+x = 8+z+2x

-2-3z-x=0

x+3z+2=0

As, both equations are same it is not possible to solve further.

Hence, there are infinitely many solutions to the system.

Learn more about this concept here:

brainly.com/question/14659401

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