SOLUTION: graph each system one solution no solution many solution 4x-2y=-6 2x-y=-3

Question 117425: graph each system one solution no solution many solution
4x-2y=-6
2x-y=-3
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.4x-2y=-6
2.2x-y=-3
First graph equation 1.
When x=0, -2y=-6, y=3.
When y=0, 4x=-6, x=-3/2

Next, equation 2.
2.2x-y=-3
When x=0, -y=-3, y=3.
When y=0, 2x=-3, x=-3/2.
As you see the x and y intercepts are the same for equations 1 and 2.
Equations 1 and 2 are the same equation.
If you multiply equation 2 by (2), you get equation 1.
They have infinitely many solutions.

RELATED QUESTIONS
graph each system of equations. One solution, no solution or many solutions show graph (answered by checkley71)

Solve each system using elimination. Tell whether the system has no solution, one... (answered by ewatrrr)

graph each system of equations. then determine whether the system has no solution, one... (answered by stanbon,mananth)

2x+ 5y = 16 5x-2y=11 How to Graph each system of equation then determine if the systme (answered by stanbon)

graph each system or equations. then determine whether the system has no solution, one... (answered by rapaljer)

Graph each system of equations using the coordinate plane provided. Then determine... (answered by jim_thompson5910)

solve each system using substitution. Write no solution or infinitely many solutions... (answered by Fombitz)

Solve each system by substitution. Tell whether the system has one solution, infinitely... (answered by Fombitz)

Determine whether the system of linear equations has one and only one solution,... (answered by ewatrrr)