Substitution Method Help

Question

How do you use the substitution method for this problem? It's: 2x-1/2y=-3 and x/5+2y=19/5. The slashes signify that they are fractions.

Answer 1

You can do this problem in several ways; here's one

 

Multiply the first equation by 2: 4x - y =  -6

This sets up your substitution: y = 4x + 6

 

(x/5) + 2(4x + 6) = 19/5

 

Clear fractions

x + 40x   + 60 = 19

 

41x = - 41 => x = -1 and then y = -4 + 6 = 2