Question

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

Answer 1

we have

`500x+6y=11,216` ---------> equation
`1`

`800x+4y=9,344` ---------> equation
`2`

In the equation
`1` clear variable x

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

`x=22.432 -0.012y` ----------> equation
`3`

Substitute the equation
`3` in the equation
`2`

`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`