Question

Y=3x+2 and 3y-9x=-6 in a linear equations and identify their solucion

Answer 1

The system has no solution

Explanation:

we have

`y=3x+2` ----> equation A

`3y-9x=-6`

isolate the variable y

`3y=9x-6`

Divide by 3 both sides

`y=3x-2` ----> equation B

Compare equation A and equation B

Their slopes are equal and their y-intercepts are different

Remember that

If two lines have the same slope, then the lines are parallel

In this problem we have two different parallel lines, so, the lines don't intercept

therefore

The system has no solution