Question

x + y = 5 17x + 4y = 46 ) Find the solution to the system of equations. Write it as an ordered pair below.

Answer 1

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)