Classify the following system of equations:y = -x+2y = -3
consistent and independent
This is a system of two linear equations with two variables:
y = -x + 2
y = -3
To classify this system of equations, we need to consider their solutions.
The first equation is the equation of a line with a slope of -1 and a y-intercept of 2. The second equation is the equation of a horizontal line with a y-value of -3.
Since there is only one solution (x,y) that satisfies both equations, we can conclude that this system of equations has a unique solution.
Therefore, we can classify this system of equations as a consistent system with a unique solution.
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