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If (4x +5):(3x +11) = 13:17, find the value of x

User Barneytron
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1 Answer

4 votes

Answer:

x=2

Explanation:

To find the value of x in the equation:

(4x + 5) / (3x + 11) = 13 / 17

You can cross-multiply to solve for x:

17(4x + 5) = 13(3x + 11)

Now, distribute the numbers on the left and right sides of the equation:

68x + 85 = 39x + 143

Next, subtract 39x from both sides of the equation to isolate the x terms:

68x - 39x + 85 = 143

Combine like terms:

29x + 85 = 143

Now, subtract 85 from both sides:

29x = 143 - 85

29x = 58

Finally, divide by 29 to solve for x:

x = 58 / 29

x = 2

So, the value of x is 2.

User Vahid Amiri
by
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