Question

Solve the given system by the substitution method
5x + y 19
7x-2y = 13​

Answer 1

x = 3 , y = 4

Explanation:

5x + y = 19 --------- ( 1 )

=> y = 19 - 5x

7x - 2y = 13 ------------ ( 2 )

Substitute y in ( 2 ) :

7x - 2( 19 - 5x ) = 13

7x - 38 + 10x = 13

17x = 13 + 38

17x = 51

x = 3

Substitute x in ( 1 ) :

5x + y = 19

5( 3 ) + y = 19

15 + y = 19

y = 19 - 15

y = 4