132k views
5 votes
2x-5y=22n y=3x-7 Use substitution to solve the system.

1 Answer

5 votes

Answer:

x = 1 , y = -4

Explanation:

2x - 5y = 22 ------- ( 1 )

y = 3x - 7 ------- ( 2 )

Substitute ( 2 ) in ( 1 ) :

2x - 5 (3x - 7) = 22

2x - 15x + 35 = 22

- 13x = 22 - 35

- 13x = - 13

x = 1

Substitute x in ( 1 ) :

2x - 5y = 22

2 ( 1 ) - 5y = 22

- 5y = 22 - 2

-5y = 20

y = - 4

User Bill Noble
by
3.4k points