SOLUTION: Solve using the SUBSTITUTION method. Must show all work for FULL credit. If system has no solution or an infinite number of solutions, Please state this. 3x + y = 26 -6x +

Algebra ->  Expressions-with-variables -> SOLUTION: Solve using the SUBSTITUTION method. Must show all work for FULL credit. If system has no solution or an infinite number of solutions, Please state this. 3x + y = 26 -6x +       Log On


   

Question 623693: Solve using the SUBSTITUTION method. Must show all work for FULL credit. If system has no solution or an infinite number of solutions, Please state this.

3x + y = 26
-6x + y = -37
Thank you for your help -I am not really dumb, I just don't understand algebra.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,  

Solve using the SUBSTITUTION method: 

3x + y = 26    or y = -3x+26  (Green)   |Solving 1st EQ for y, so as to have something to 'substitute' for y in the 2nd EQ

-6x + y = -37 

-6x + (-3x+26) = -37    ||Substituting (-3x+26) for y gives the solution for x

     -9x = -63

       x = 7  and y+=+-3%2A7+%2B+26+=+5

Ordered pair (7,5) is the solution for this system of EQuations