4. What should be added to (3x 4) to get (9x - 7)? a)( 12 x? - 11) b) (12 x 11) c)(6x? - 11) d) (6x² 11)
Question
- What should be added to (3x 4) to get (9x - 7)? a)( 12 x? - 11) b) (12 x 11) c)(6x? - 11) d) (6x² 11)
Solution
The question seems to be a bit unclear, but I'll try to interpret it as best as I can.
We are asked what should be added to (3x + 4) to get (9x - 7).
Let's denote the unknown addition as (ax + b).
So, we have the equation:
(3x + 4) + (ax + b) = 9x - 7
This simplifies to:
(3x + ax) + (4 + b) = 9x - 7
This can be further simplified to:
(a + 3)x + (4 + b) = 9x - 7
For the left side to be equal to the right side, (a + 3) must be equal to 9 and (4 + b) must be equal to -7.
Solving these two equations gives:
a = 9 - 3 = 6
b = -7 - 4 = -11
So, the correct answer is (6x - 11), which corresponds to option c).
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