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 +

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


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