what is the value of x in the proportion 2x+7/3x-4=11/2?
A. 2
B. 58
C. 11/29
D. 2/5
I think its A but not sure???
you are correct
thank you so much Steve!
Why is it 2?
To find the value of x in the proportion (2x + 7) / (3x - 4) = 11 / 2, we can start by cross-multiplying to eliminate the fractions:
(2x + 7) * 2 = (3x - 4) * 11
Now, we can expand both sides of the equation:
4x + 14 = 33x - 44
Next, let's move all the x terms to one side and the constant terms to the other side of the equation:
4x - 33x = -44 - 14 (subtract 33x from both sides and subtract 14 from both sides)
-29x = -58 (combine like terms)
Finally, let's solve for x by dividing both sides of the equation by -29:
x = (-58) / (-29)
x = 2
Therefore, the value of x in the proportion 2x + 7 / 3x - 4 = 11 / 2 is 2.
So, your initial guess of A is correct. The answer is A.