x + y + z = 102
z = 2y
x = 10 + y
Because we have values of x and z, we can plug them into the original equation to solve for y.
10 + y + y + 2y = 102
Combine like terms.
4y + 10 = 102
Subtract 10 from both sides.
4y = 92
Divide both sides by 4.
y = 23
Now that we have a value for y, we can find the value of x and z.
z = 2(23)
z = 46
x = 10 + 23
x = 33