19. If (4x + 5) : ( 3x + 11) = 13:17, find the value of x.
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Hello !!
About your question, we only need find the solution for the unknown (x). See the resolution.
(4x + 5) : ( 3x + 11) = 13 : 17
17(4x + 5) = 13(3x + 11)
68x + 85 = 39x + 143
68x - 39x = 143 - 85
29x = 143 - 85
29x = 58
x = 58/29
x = 2
Now, we check the result.
(4x + 5) : ( 3x + 11) = 13 : 17
(4(2) + 5) : (3(2) + 11) = 13 : 17
(8 + 5) : (6 + 11) = 13 : 17
13 : 17 = 13 : 17 (TRUE)
Final result : the solution for (x) is 2.
I hope I have collaborated !
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