You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).
Multiply by 12
... 4(x -1) +3(x +5) = 6
... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses
... 7x +11 = 6 . . . . . . . . . . . .collect terms
... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11
... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient
_ _ _ _ _ _ _
Here it is the other way.
... x(1/3 +1/4) +(-1/3 +5/4) = 1/2
... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms
... x + 11/7 = 6/7 . . . . . . . multiply by 12/7
... x = -5/7 . . . . . . . . . . . subtract 11/7
At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.
This is what I got. The standard equation for a hyperbola with a horizontal tranverse axis is - = 1. The center is at (h,k). The distance between the vertices is a 2a. The distance between the foci is 2c. I hope that helped :\
For this case we have the following inequality:
Subtracting 4 from both sides of the inequality we have:
Dividing between 7 on both sides of the inequality we have:
Thus, the properties used were:
Subtraction property
Division property
Answer:
Subtraction property
Division property
Ignore this, I posted the wrong answer and I don't know how to delete it.
