SOLUTION: Please assist with the following problem. Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.

Algebra ->  Expressions-with-variables -> SOLUTION: Please assist with the following problem. Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.       Log On


   

Question 372097: Please assist with the following problem.
Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
8x – 5y = 3
7x + y = 51

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
8x – 5y = 3
7x + y = 51 or y=51-7x
Replace y by (51-7x) in the first equation & solve for x.
8x-5(51-7x)=3
8x-255+35x=3
43x=3+255
43x=258
x=258/43
x=6 ans.
y=51-7*6
y=51-42
y=9 ans.
Proof:
8*6-5*9=3
48-45=3
3=3