Question

Roblem #7

A system of linear equations is shown.
2y=6x+ 4
y = 3x-4
Explain how many solutions this system of equations has.

Answer 1

no solution.

Explanation:

1) in order to explain, the given system should be resolved:

`\left \{ {{2y=6x+4} \atop {y=3x-4}} \right. \ < = > \ \left \{ {{y=3x+2} \atop {y=3x-4}} \right.`

2) the both equations have the same slope (it is 3), it means the given lines are parallel, then no solution.