Answer:
To solve the system of equations, we can use Cramer’s Rule. However, to write each equation in slope-intercept form, we need to rearrange them so that y is isolated on one side of the equation.
The first equation is:
2x+y=−3
Subtracting 2x from both sides, we get:
y=−2x−3
Therefore, the slope-intercept form of the first equation is:
y=−2x−3
The second equation is:
−2y=6+4x
Dividing both sides by -2, we get:
y=−2x−3
Therefore, the slope-intercept form of the second equation is:
y=−2x−3
As you can see, both equations have the same slope-intercept form. This means that they are equivalent and represent the same line. Therefore, there are infinitely many solutions to this system of equations.