x + y + z = 13
y = 3x - 3
z = 4x
Because we have values for y and z, we can plug them into the original equation to find the value of x.
x + 3x - 3 + 4x = 13
Combine like terms.
8x - 3 = 13
Add 3 to both sides.
8x = 16
Divide both sides by 8.
x = 2
The value of x is 2.
Because we have the exact value of x, we can insert this into each x value to find the values of y and z.
y = 3(2) - 3
y = 3
z = 4(2)
z = 8
2 + 3 + 8 = 13