Question

2x+4y=12

y=1/4x-3
what is the solution to the system of equations ?
(-1,8)
(8,-1)
(5,1/2)
(1/2,5)

Answer 1

Answer: The solution of the system of the equation is, (8,-1)

Explanation:

Using substitution method

`2x+4y=12` .......... (1)

`y=(1)/(4)x-3` ......... (2)

Now we are putting equation (2) into equation (1), we get the value of 'x'

`2x+4((1)/(4)x-3)=12`

`2x+(4)/(4)x-4* 3=12`

`2x-x=12+12`

`3x=24`

`x=8`

Now put the value of 'x' in equation (2), we get the value of 'y'

`y=(1)/(4)x-3`

`y=(1)/(4)* 8-3`

`y=2-3`

`y=-1`

Hence, the correct option is, (8,-1)