Question

solve the system using the subsition method (if there is no solution enter no solution if there are infineite solutions put infinite8w + 24y = 10Y= -1/3w + 5/12

Answer 1

Given:

`8w+24y=10\ldots.(1)`
`y=-(1)/(3)w+(5)/(12)\ldots.\text{ (2)}`

By taking the equation (1)

`24y=10-8w`
`y=(10-8w)/(24)\ldots.\text{ (3)}`

Substitue the equation (3) in equation (1)

`(10-8w)/(24)=-(1)/(3)w+(5)/(12)`
`(10-8w)/(24)=(-4w+5)/(12)`
`(10-8w)/(2)=(-4w+5)/(1)`
`1(10-8w)=2(-4w+5)`
`10-8w=-8w+10`
`8w-8w=10-10`
`0=0`

Therefore,the system of equation has infinitely many solution.