Question

1/2x + 3y = 1
x + 6y = 2

A. Infinity solutions
B. No solutions
C. One solution

Answer 1

multiply the first equation by 2 (all the way across)
what do you get?

Answer 2

1/2x + 3y = 1

2 * (1/2) x + 2 * 3y = 2*1 -----> That is multiplying by 2. See if you can simplify that.

Answer 3

2 * (1/2) x + 2 * 3y = 2*1

x + 6y = 2

Answer 4

1/2x + 3y = 1 ---> x + 6y = 2

x + 6y = 2 ---> x + 6y = 2
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Notice that we have the same equation used twice.

How do you think that they might intersect. At each point they intersect is a solution.