Question

Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.

2x + y + z = -7
x - 3y + 4z = -14
x - 2y - 3z = -11

Answer 1

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I would use elimination(canceling out x) because it seems easy .

Answer 2

@YanaSidlinskiy how do I go about plugging it into the next two equations ? When do I solve for y and z? How?

Answer 3

Solve for Z. equation (1) x 4 - equation (2)

8x + 4y + 4z = -28
- x - 3y + 4z = -14
---------------------------
7x + 7y = -14 (4)

and then equation (1) x 3 + equation (3)

6x + 3x + 3z = -21
x - 2y - 3z = -11
------------------
7x + y = -32 (5)
now you have 2 equations in 2 unknowns
7x + 7y = -14 (4)
7x + y = -32 (5)
then equation (4) - equation (5) to eliminate x
6y = 18
y = 3
substitute into equation (5)

Answer 4

The other part is:
7x + 3 = -32
7x = -35
x = -5
substitute into equation 1 to find z
2(-5) + 3 + z = - 7
- 7 + z = -7
z = 0
then the solution is
x = -5, y = 3 and z = 0 :)

Answer 5

@YanaSidlinskiy Thannk you :)

Answer 6

You're Welcome!!:)