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

Question

asked Jun 22, 2021 106k views

2 Answers

Haroon Ashraf Awan · Answer 1 · 2021-06-27T08:06:44+0000

Answer:

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