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X + 2y = 46 y + 3z = 41 3z = 27 What is the value of x?
A) 12
B) 15
C) 19
D) 20

1 Answer

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Final answer:

To find the value of x, substitute the value of z from the third equation into the second equation, solve for y, and then substitute the values of y and z into the first equation to solve for x. The value of x is 18.

Step-by-step explanation:

To find the value of x, we need to solve the given system of equations:

  1. x + 2y = 46
  2. y + 3z = 41
  3. 3z = 27

First, we can substitute the value of z from the third equation into the second equation to get:

y + 3(9) = 41

Simplifying, we have:

y + 27 = 41

y = 14

Next, we can substitute the values of y and z into the first equation:

x + 2(14) = 46

Simplifying, we have:

x + 28 = 46

x = 18

Therefore, the value of x is 18.

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