Mathematics: 500x+6y=11216. and 800x+4y=9344 solve substuition method

500x+6y=11216. and 800x+4y=9344 solve substuition - id50061121680049344751731, darcyshay62871

miner12924owhu4d

12.03.2022

we have

500x+6y=11,216 ---------> equation

800x+4y=9,344 ---------> equation

In the equation clear variable x

$500x+6y=11,216\\ 500x=11,216-6y$

x=22.432 -0.012y ----------> equation

Substitute the equation in the equation

800*[22.432 -0.012y]+4y=9344

$800*[22.432 -0.012y]+4y=9,344\\17,945.6- 9.6y+4y=9,344\\9.6y-4y= 17,945.6-9,344\\ 5.6y=8,601.6\\y=8,601.6/5.6\\y= 1,536$

Find the value of x

x=22.432 -0.012y

x=22.432 -0.012*1,536

x=4

therefore

the answer is

x=4

y=1,536

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