Question

Solve the following system of equations by substitution and select the correct answer below: 4x − 6y = 28 8x − 4y = 24

Answer 1

According to my calculation it should be C: x= 1 and y = - 4
NOTE: I had it right on my online class.

Answer 2

the solution is the point
`(1,-4)`

Explanation:

we have

`4x-6y=28`

isolate the variable x

`4x=28+6y`

`x=7+1.5y` -----> equation A

`8x-4y=24` -----> equation B

substitute the equation A in equation B

`8(7+1.5y)-4y=24`

`56+12y-4y=24`

`12y-4y=24-56`

`8y=-32`

`y=-4`

Find the value of x

`x=7+1.5(-4)=1`

the solution is the point
`(1,-4)`