Question

If (a, b, c) is a solution to the system of equations above, what is the value of c?

•-26
•-6
•6
•It cannot be determined from the information given

Answer 1

Option (3)

Explanation:

The given system of the equations is,

-2x + 4y - 3z = 10 ------(1)

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

If the system of equations has the solution as (a, b, c),

Which shows,

x = a, y = b and z = c

Multiply equation (2) by 2 and add it to equation (1),

2(x - 2y + z) + -2x + 4y - 3z = 10 - 16

2x - 2x - 4y + 4y + 2z - 3z = 10 - 16

-z = -6

z = 6

Therefore, z = c = 6 will be the answer.

Option (3) will be the correct option.