Question

Y=5x+2
4x-y=0
is (2,12) a solution of the system?

Answer 1

Answer: no

Explanation:

Answer 2

The point (2,12) is not a solution of the system

see the explanation

Explanation:

we have

`y=5x+2` ----> equation A

`4x-y=0` ----> equation B

Solve the system by elimination

Adds equation A and equation B

`y=5x+2\\4x-y=0\\------\\y+4x-y=5x+2+0\\4x=5x+2\\5x-4x=-2\\x=-2`

Find the value of y

substitute the value of x in the equation A

`y=5(-2)+2=-8`

The solution of the system is the point (-2,-8)

The system has only one solution, because the intersection point both lines is only one point

therefore

The point (2,12) is not a solution of the system