Substitution and find plots

Algebra
Tutor: None Selected Time limit: 1 Day

2x-4y=2

-5+10y=-5

I have never been great at algebra.

Sep 11th, 2015

Thank you for the opportunity to help you with your question! Hope your day is going well!

Hello, the goal is to solve for y.

1. 2x-4y=1   (let's divide the whole equation by 2)

x-2y=1   (subtract x from both sides)

-2y=-x+1   (divide by -2 to both sides)

y=x/2-1/2

Try substituting in different x's to find it's y valus. 

x
y
1
0
2
1/2
3
1
4
3/2
5
2
6
5/2


So some points are ....(1,0),(2,1/2),(3,1),(4,3/2),(5,2),(6,5/2)....

2. -5+10y=-5 (let's divide the whole equation by 5)

-1+10y=-1  (add one to both sides)

10y=0    (divide by 10 to both sides)

y=0

Thus this is a horizontal line (it crosses the y axis, and gives all the points of the x axis).

so some points are ...., (-1,0)(0,0),(1,0),(2,0)....


Please let me know if you need any clarification. I'm always happy to answer your questions. Leave a positive review if you are happy!
Sep 11th, 2015

I realized I did the wrong things for these problems, because you are supposed to use the substitution method. I will fix it, and give the correct way to do the answer.

Solve for y using the second equation

-5+10y=-5 (add five to both sides)

10y=0

y=0

Substitute y=0 into the first equation

2x-4(0)=2

2x-0=2

2x=2

x=1

Therefore your answer is x=1, and y=0

Sep 11th, 2015

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Sep 11th, 2015
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