Homework Help: Intermediate Algebra

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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