Hey there! :)
We are given two equations :
Equation 1 is : 2x + y = -3
Equation 2 is : 4x + 2y = 10
We need to multiply ALL of equation #1 by 2 so that both equations have "2y" in them. We need to do this because we're essentially crossing out all of the like variables.
Equation 1 : 2(2x + y = -3)
Simplify.
4x + 2y = -6
Now, we'll call this new equation equation #3.
We now have equations #2 & #3.
Equation 2 : 4x + 2y = 10
Equation 3 : 4x + 2y = -6
Subtract the equations from one another.
Notice how the x's, y's, and regular numbers are all lined up to one another. Using that, we can very simply do this :
4x - 4x = 0
2y - 2y = 0
10 - (-6) = 16
Thus giving us this :
0 + 0 = 16
0 = 16
So, our answer to this overall system of equations is No solutions!
~Hope I helped!~