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:
- x + 2y = 46
- y + 3z = 41
- 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.