Quiz about System of Three Equations

Question 1

Known system of linear equation as follows:
$$\frac{1}{x}+\frac{2}{y}=-3$$
$$\frac{1}{x}-\frac{2}{z}=2$$
$$\frac{1}{y}+\frac{2}{z}=-2$$
The result of $$x+y+z=....$$

Accepted Answer

$$2$$

Answer

$$-2$$

Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{2}$$

Question 2

Determine which ordered triple is a solution of the systems of equations?
2x+y=0
x+3y-z=-11
7x+5y+4z=21

Accepted Answer

(1,-2,6)

Answer

(0,0,11)

Answer

(-1,2,-16

Answer

(0,1,-14)

Question 3

Solve the system.

Accepted Answer

(1, -3, -2)

Answer

(1, 2, -2)

Answer

(-1, 3, 2)

Answer

No Solution

Question 4

Solve the system.

Accepted Answer

(5, -6, 3)

Answer

(2, 3, -1)

Answer

(-4, 2, 5)

Answer

No Solution

Question 5

Solve the system.

Accepted Answer

(-1, 6, -4)

Answer

(1/2, 4, -2)

Answer

(3, 3/2, -1/2)

Answer

Infinitely many solutions

Question 6

Solve the system of equations:

Accepted Answer

None of these

Answer

( 5, 1, -4)

Answer

(-5, 3, -1)

Answer

( -1, 5, -4)

Question 7

________________ is a set of two or more equations that have the same variables.

Accepted Answer

system of equations

Answer

solution of a system

Answer

elimination method

Answer

table

Question 8

Solve the system of equations.
x-3y=13
5x+6z=41
2x+4y-z=5

Accepted Answer

(7,-2,1)

Answer

(13,0,-4)

Answer

(10,-1,11)

Answer

(1,-4,6)

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