Substitution and find plots
Algebra

Tutor: None Selected  Time limit: 1 Day 
6x9y=3
x+3y=0
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The goal is to get y alone.
1. 6x9y=3 (divide by 3 to the whole equation)
2x3y=1 (subtract 2x from both sides)
3y=2x+1 (divide by 3 to the whole equation)
y=2/3x1/3
Just use random x values, to find some y values
x  y 
0  1/3 
1  1/3 
2  1 
(0,1/3)(1,1/3)(2,1)
2. x+3y=0 (subtract x from both sides)
3y=x (divide by three to both sides)
y=x/3
x  y 
0  0 
1  1/3 
2  2/3 
Note there are a ton more points, you just keep using different x values to find more points.
I realized I have been doing the wrong things for these problems. I will fix each of these (I forgot to read the title, and it clearly says use substitution method).
So for this problem, solve the second equation for x and substitute in what you find for x into the second equation.
x+3y=0
x=3y
6(3y)9y=3
18y9y=3
27y=3 (divide by negative 27 to both sides)
y=3/27=1/9
Hence y=1/9
Substitute y=1/9 into x=3y to solve for x
x=3(1/9)
x=1/3
Therefore the answer is x=1/3 and y=1/9
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