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bazaltina [42]
3 years ago
15

Plz reanswer it If (x+4): (3x+1) is the duplicate ratio of 3:4 find the value of x.​

Mathematics
2 answers:
Damm [24]3 years ago
6 0

Answer:

\boxed{\sf x =  \frac{13}{5} }

Given:

(x + 4):(3x + 1) is the duplicate ratio of 3:4

To Find:

Value of x

Step-by-step explanation:

\sf Solve  \: for \:  x: \\  \sf \implies (x + 4) : (3x + 1) = 3 : 4 \\  \\  \sf Convert \:  ratios  \: to \:  fractions: \\ \sf \implies  \frac{x + 4}{3x + 1}  =  \frac{3}{4}  \\  \\ \sf Cross  \: multiply: \\ \sf \implies 4(x + 4) = 3(3x + 1) \\  \\  \sf Expand  \: out \:  terms  \: of \:  the  \: left  \: hand  \: side: \\ \sf \implies 4x + 16 = 3(3x + 1) \\  \\  \sf Expand  \: out  \: terms  \: of \:  the  \: right \:  hand \:  side: \\ \sf \implies 4x + 16 = 9x + 3 \\  \\  \sf Subtract  \: 9 x + 16  \: from  \: both \:  sides: \\  \sf \implies  - 5x =  - 13 \\  \\  \sf Divide  \: both  \: sides \:  by \:  - 5: \\  \sf \implies x =  \frac{13}{5}

Rzqust [24]3 years ago
3 0
Answer: x = 13/5

Explanation:

(x+4)/(3x+1) = 3/4

Cross multiply:

4(x+4) = 3(3x+1)
4x + 16 = 9x + 3
4x - 9x = 3 - 16
-5x = -13
x = -13/-5
x = 13/5
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