If 2x : (x +1) = 3:2, what is the value of x?
Question 1 Report
If 2x : (x +1) = 3:2, what is the value of x?
Answer Details
To solve the equation 2x : (x + 1) = 3 : 2, we need to cross-multiply the ratios.
That means we multiply the numerator of the left-hand side ratio by the denominator of the right-hand side ratio, and we multiply the denominator of the left-hand side ratio by the numerator of the right-hand side ratio.
So we have:
2x * 2 = 3 * (x + 1)
Simplifying the right-hand side:
4x = 3x + 3
Subtracting 3x from both sides:
x = 3
Therefore, the value of x is 3.
To check, we can substitute x = 3 back into the original equation and see if both sides are equal:
2(3) : (3 + 1) = 6 : 4 = 3 : 2
So the equation is true when x = 3, and that is our final answer.
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