we have
x + y = 5 -----> equation A
17x + 4y = 46 ------> equation B
Solve the system by substitution
step 1
isolate the variable x in equation A
x=5-y ------> equation C
step 2
substitute equation C in equation B
17(5-y)+4y=46
solve for y
85-17y+4y=46
17y-4y=85-46
13y=39
y=3
Find the value of x
x=5-y
x=5-3=2
therefore
the solution is the ordered pair (2,3)