If g + 3f - 1 = 0 and 7f + 3g - 7 = 0 intersect at coordinate (f, g) in the fg-plane, what is the value of g?(A) -2(B) 1(C) 3(D) 5(E) 7
Question
Solution 1
To find the value of g, we can solve the system of equations given by:
g + 3f - 1 = 0 ...(1) 7f + 3g - 7 = 0 ...(2)
First, we can rearrange equation (1) to solve for g:
g = 1 - 3f ...(3)
Then, we substitute equation (3) into equation (2):
7f + 3(1 - 3f) - 7 = 0 7f + 3 - 9f - 7 = 0 -2f - 4 = 0
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