Question

solve each equation system by the addition method 2x+3y=23 3x+y=17

Answer 1

2x+3y=23
(3x+y=17) times 3
9x + 3y = 51

Answer 2

add
9x + 3y = 51
2x + 3y = 23

Answer 3

i.e
9x - 2x = 7x
3y - 3y = 0
51 - 23 = 28

Answer 4

therefore 7x = 28

Answer 5

x = 28/7

Answer 6

x = 4

Answer 7

9x + 3y = 51
put x = 4
9(4) + 3y = 51

Answer 8

36 + 3y = 51

Answer 9

3y = 51 - 36

Answer 10

3y = 15

Answer 11

y = 15/3

Answer 12

y = 5

Answer 13

Order pair
is
(4,5)