SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 7x + 8y = 51 7x + 10y = 55

Algebra ->  Linear-equations -> SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 7x + 8y = 51 7x + 10y = 55       Log On


   

Question 371166: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
7x + 8y = 51
7x + 10y = 55
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

If you subtract the first equation from the second equation, you will "eliminate" the x variable!

What you need to do is just subtract like terms, ie subtract 7x from 7x, subtract 8y from 10y, and subtract 51 from 55.

You will end up with

2y=4

y=2

Then just plug y=2 back into either one of the equations.

7x%2B10y=55

7x%2B10%2A2=55

7x%2B20=55

7x=35

x=5

Therefore, the ONLY solution to this system of equations is:

x=5 and y=2, or the point (5,2)

I hope this helps!