213k views
10 votes
Roblem #7

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

1 Answer

10 votes

Answer:

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.

User Bosak
by
7.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.