Answer: It will be in the explanation
Explanation:
"five more than three times the smaller number" will mean:
x = 3y + 5 [equation 1]
x + y = 33 [equation 2]
Rearrange the first equation like this :
x - 3y = 5
x + y = 33
Doing this puts the variables on the same side. Now we gotta find the value of x. In order to do so, we have to use both of the equations provided to solve and make it one equation with x and not y.
y = 33 - x
x = 5 + 3(33 - x)
Use the distributive property for 3(33 - x), which will be:
x = 5 + 99 - 3x
Further solving it:
4x = 104 [divide this by 4 to get x by itself]
Final answer is
x = 26
Hope this helps :D