Question

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

Answer 1

Answer:

x=2

Step-by-step explanation:

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

68X+85=39X+143

68X-39X=143-85

29X=58

X=2

Answer 2

Answer:

$\boxed{\sf x = 2}$

Step-by-step explanation:

$\sf Solve \: for \: x: \\ \sf \implies (4x + 5) : (3x + 11) = 13: 17 \\ \\ \sf Convert \: ratios \: to \: fractions: \\ \sf \implies \frac{4x + 5}{3x + 11} = \frac{13}{17} \\ \\ \sf Cross \: multiply: \\ \sf \implies 17(4x + 5) = 13(3x + 11) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 68x + 85 = 13(3x + 11) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 68x + 85 = 39x + 143 \\ \\ \sf Subtract \: 39 x + 85 \: from \: both \: sides: \\ \sf \implies 68x + 85 - (39x + 85)= 39x + 143 - (39x + 85) \\ \\ \sf \implies 68x + 85 - 39x - 85= 39x + 143 - 39x - 85 \\ \\ \sf \implies 29x= 58 \\ \\ \sf Divide \: both \: sides \: by \: 29: \\ \sf \implies \frac{29x}{29} = \frac{58}{29} \\ \\ \sf \implies x = 2$