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shtirl [24]
3 years ago
14

PART A: Rosie writes the equation 24(mx+n)=3x+17, where m and n are real numbers.

Mathematics
2 answers:
DanielleElmas [232]3 years ago
7 0

Answer:

part A has no solution

part B, I not sure

Airida [17]3 years ago
3 0

Answer:

PART A:

24(mx + n) = 3x + 17

when m is 14 and n is 13:

24 \{(14)x + 13) = 3x + 17 \\ 24(14x + 13) = 3x + 17 \\ 336x + 312 = 3x + 17

collect like terms:

336x - 3x = 17 - 312 \\ 333x =  - 295 \\ x =  - 0.886 \\  \\ { \boxed{ \boxed{ \sf{it \: has \: one \: solution}}}}

PART B:

if \: m \: is \: 18 \\ 24(18x + n) = 3x + 17  \\

remember x is -0.886

24 \{(18 \times  - 0.886) + n \} = (3  \times  - 0.886) + 17 \\  - 382.752 + 24n =  - 26.58 \\ 24n = 356.172 \\ { \boxed{ \boxed{ \sf{n \: is \: 14.8}}}}

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