Solve the given system by substitution.

Question

{g=2h-3

{4g-5h=-6

Answer 1

g = 2h -3;    4g - 5h = -6

 

substitute the 2h -3 for the g in the 2nd equation

 

           4(2h - 3) - 5h = -6

 

                8h - 12 -5h = -6

 

                      3h - 12 = -6

 

                             3h = 6

 

                              h = 2

 

                              g = 1

 

Answer 2

put g = 2 h-3 into 4 g - 5 h = -6, then

 

4 (2 h - 3) - 5 h = -6

8 h - 12 - 5 h = -6

3 h = -6 + 12

3 h = 6

  h = 2

 

g= 2 h - 3 = 2*2 - 3 =1