The solution to the system of equations -6 - 3x = -2y and 2y = -6 - 3x is x = -2, y = 0
The given system of equation is:
-6 - 3x = -2y........(1)
2y = -6 - 3x......(2)
Rewrite both equations in the slope intercept form y = mx + c
For equation (1)
[tex]-6 - 3x = -2y\\-2y = -3x - 6\\y = \frac{3}{2}x + 3.......(3)[/tex]
For equation (2)
[tex]2y = -6 - 3x\\2y = -3x - 6\\y = \frac{-3}{2} -3.......(4)[/tex]
Plot the graph of equations (3) and (4) as shown below
The point where the lines of equations -6 - 3x = -2y and 2y = -6 - 3x intersect is the solution of the system of equations
Since the two lines intersect at the point (-2, 0), the solution to the system of equations -6 - 3x = -2y and 2y = -6 - 3x is x = -2, y = 0
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