what is the value of x in the diagram?
A. 1/2
B. 4/21
C. 2
D. 4
The fractions for cross multiplication are 9/4x-2 and 12/3x+2
I tried to do it but it was not an answer and i dont know what i did wrong
Hard to say what you did wrong, since you didn't show your work.
First, learn to use parentheses:
9/(4x-2) = 12/(3x+2)
9(3x+2) = 12(4x-2)
27x+18 = 48x-24
21x = 42
x = 2
but how did you get to 21x=42 i dont get what you did @Steve
you cross multiply
To get 21x=42, you move the constants to one side and the terms with variables to the other.
27x+18=48x-24
+24 +24
-------------------------------
27x+42=48x
-27x -27x
--------------------------
42=21x
Well, it seems like you got stuck on this math problem. Don't worry, I'm here to help you out with a smile! Let's break it down together.
The fractions you provided are 9/(4x-2) and 12/(3x+2). We can start by cross-multiplying these fractions. So, we multiply 9 by (3x+2) and 12 by (4x-2).
9(3x+2) = 12(4x-2)
Now, let's simplify this equation:
27x + 18 = 48x - 24
To find the value of x, let's bring all the x terms to one side:
27x - 48x = -24 - 18
-21x = -42
To solve for x, we divide both sides of the equation by -21:
x = (-42) / (-21)
Simplifying further:
x = 2
So, the value of x in the diagram is C. 2.
Hope this answer brings a smile to your face! Keep up the great work!
To find the value of x in the diagram, we can set up an equation using the given fractions for cross multiplication.
First, let's set up the equation:
(9/(4x - 2)) = (12/(3x + 2))
To solve this equation, we can use cross-multiplication.
Multiply the numerator of the first fraction (9) by the denominator of the second fraction (3x + 2), and multiply the denominator of the first fraction (4x - 2) by the numerator of the second fraction (12). Set these two products equal to each other.
9(3x + 2) = 12(4x - 2)
Now, let's simplify and solve for x:
27x + 18 = 48x - 24
Subtract 27x from both sides and add 24 to both sides:
18 + 24 = 48x - 27x
42 = 21x
Divide both sides by 21:
42/21 = (21x)/21
2 = x
Therefore, the value of x in the diagram is 2.
So the correct answer is C. 2