Question

Solve 6f-4g=1,6f-6g=5

Answer 1

The solution is (-1/2, -2)

Explanation:

Given 6f-4g=1,6f-6g=5, write these in columnar form:

6f-4g=1

6f-6g=5

Change all of the signs in the first equation:

-6f + 4g = -1

6f-6g=5

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-2g = 4, and so g = -2

Substituting -2 for g in either equation enables us to find f. Let's use the first equation: 6f - 4(-2) = 5 yields 6f + 8 = 5, or 6f = -3

Then f = -1/2 and g = -2. The solution is (-1/2, -2)