SOLUTION: I need help with this system of equations the substitution method Here's the problem: 2x+10y=4 and x=8-5y and I substituted the x=8-5y in for x and I got 2(8-5y)+10y=4 then I did

Question 1050333: I need help with this system of equations the substitution method
Here's the problem: 2x+10y=4 and x=8-5y and I substituted the x=8-5y in for x and I got 2(8-5y)+10y=4 then I did the distributing and got 16-10y+10y=4 which I discovered was 0 after i combined them. And now I'm not sure where to go from here. So if you can please help me.
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
You went through the process of trying to solve and you found a false statement. GOOD. Now, look at the slopes of the two given equations!

, slope is .
, slope is .

How would you know those/or that slope?
Solve for y in terms of x and look at the form y=mx+b.
The slope is the value of m.

So the two given lines have the same slope.
What does that tell you?

--
Parallel lines have no point in common, or in other words, they do not intersect.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

I need help with this system of equations the substitution method
Here's the problem: 2x+10y=4 and x=8-5y and I substituted the x=8-5y in for x and I got 2(8-5y)+10y=4 then I did the distributing and got 16-10y+10y=4 which I discovered was 0 after i combined them. And now I'm not sure where to go from here. So if you can please help me.

Continue to get: - 10y + 10y = 4 - 16
Now, , and therefore, this system has NO SOLUTIONS, which indicates that the lines are parallel.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Look into the lesson
    - Geometric interpretation of a linear system of two equations in two unknowns
in this site.

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