Posted by **Jordan** on Thursday, October 7, 2010 at 12:42pm.

Determine whether the point (1, 8) is a solution of the system

2x + 6y = 50

10x + 0y = 10

by substituting the point into each equation.

So far I have:

2x=6y=50

y=50-2x

10x+10y=10

10x+0(50-2x)=10

10x+0=10

x=10

y=50-2x

y=50-2(1)

y=50-2

y=48

PLEASE HELP! I'm lost. I've had tutoring and still do not understand fully.

- Intermediate Algebra -
**drwls**, Thursday, October 7, 2010 at 12:59pm
Plug x=1 and y=8 into the two equations simultaneously and see if both are satisfied.

They both are.

2 + 48 = 50

10 = 10

Therefore (1,8) is the solution.

Your equation y=50-2x

is wrong.

- Intermediate Algebra -
**drwls**, Thursday, October 7, 2010 at 1:01pm
You are confusing SOLVING the two equations (which is possible by various means) with TRYING OUT a sample solution you have been given, to see if it works.

You have made the problem harder than it really is, and made mistakes in the process.

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