Math, asked by kapasenamrata, 4 months ago

solve the simultaneous linear eq (std 10) no spam❌❌​

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Answered by PharohX
5

GIVEN :-

 \sf \: 4x +  \frac{y}{3}  =  \frac{8}{3}  \:  \:  \:  \:  \:  \:  \: ... (i) \\  \\   \sf \: \frac{x}{2}  +  \frac{3y}{4}  =  -  \frac{5}{2}  \:   ...(ii)

SOLUTION :-

 \sf \: 4x +  \frac{y}{3}  =  \frac{8}{3 } \\

 \implies\sf \:  \frac{12x + y}{3}  =  \frac{8}{3}  \\

 \sf \implies \: 12x + y = 8

 \sf \implies \:  y = 8 - 12x \:  \:  \:  \:  \:  \:  \:  \: ...(iii)

 \sf \star \: Putting \:  \:  in \:  \:  equation \:  \: (ii)

 \sf \frac{x}{2}  +  \frac{3y}{4}  =  -  \frac{5}{2}  \\

 \implies \sf \frac{x}{2}  +  \frac{3(8 - 12x)}{4}  =  -  \frac{5}{2}  \\

 \implies \sf \frac{x}{2}  +  \frac{3 \times 4(2 - 3x)}{4}  =  -  \frac{5}{2}  \\

 \implies \sf \frac{x}{2}  + 3(2 - 3x) =  -  \frac{5}{2}  \\

 \implies \sf \frac{x}{2}  +6 - 9x=  -  \frac{5}{2}  \\

 \implies \sf \frac{x}{2}   - 9x=  -  \frac{5}{2}  - 6 \\

 \implies \sf \frac{x - 18x}{2}   =   \frac{ - 5  - 12}{2}   \\

 \implies \sf \frac{ - 17x}{2}   =   \frac{ - 17}{2}   \\

 \green{ \boxed{ \sf \implies \: x = 1}}

 \sf \: Putting \:  the \:  value \:  of  \: x \:  in  \: eq \:  (iii)

 \sf \implies \:  y = 8 - 12(1)

 \sf \implies \:  y = 8 - 12

 \sf \implies \:  y =  - 4

 \green{ \boxed{ \sf \implies \: y=  - 4}}

Answered by mohammadkaifpathan78
0

Answer:

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