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Musya8 [376]
2 years ago
13

17x-3y=4 2x-4y=1 the solution to the system of equations is

Mathematics
1 answer:
Burka [1]2 years ago
7 0

ANSWER

x=\frac{13}{62}

and


y= \frac{-9}{62}e have



EXPLANATION




17x-3y=4---(1)


2x-4y=1



Let us make y the subject and call it equation (2)


2x=1+4y


x=\frac{1}{2}+2y--(2)



We put equation (2) in to equation (1)




17(\frac{1}{2}+2y)-3y=4


\frac{17}{2}+34y-3y=4



34y-3y=4- \frac{17}{2}


Simplify to get,



31y= \frac{8-17}{2}



31y= \frac{-9}{2}


Divide both sides by 31,



y= \frac{-9}{2} \div 31



y= \frac{-9}{2} \times \frac{1}{31}




y= \frac{-9}{62}


We put this value in to equation (2) to get,



x=\frac{1}{2}+2\times -\frac{9}{62}




x=\frac{1}{2} -\frac{18}{62}


We collect LCM to obtain,



x=\frac{31-18}{62}



x=\frac{13}{62}








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