Solution:
There will be Infinitely many solutions.
Explanation:
We have been given the system of equation
[tex]2x+y=-3.............(1)\\-2y=6+4x...........(2)\\[/tex]
The slope intercept form of a line is given by y=mx+b, where m is the slope and b is the y intercept.
Let us write both equations in slope- intercept form
[tex]2x+y=-3\\\\y=-2x-3[/tex]
The second equation is
[tex]-2y=6+4x\\\\\text{Divde both sides by -2}\\\\y=-3-2x[/tex]
Now, we have to solve this system of equation.
We have calculated the values of y for both equation. Hence, both should be same
[tex]-2x-3=-2x-3\\0=0[/tex]
We got a true condition.
Hence, there will be Infinitely many solutions.
