classify the system of equations -1/2x=3-y -7+y=1/2x-2

Answer: Inconsistent.Step-by-step explanation: The equation of the line in Slope-Intercept form is: [tex]y=mx+b[/tex] Where "m" is the slope and "b" is the y-intercept. Solve for "y" in each equation: Equation 1 [tex]-\frac{1}{2}x=3-y\\\\y=\frac{1}{2}x+3[/tex] Equation 2 [tex]-7+y=\frac{1}{2}x-2\\\\y=\frac{1}{2}x-2+7\\\\y=\frac{1}{2}x+5[/tex] You can notice that the slope of the Equation 1 is: [tex]m_1=\frac{1}{2}[/tex] And the slope of the Equation 2 is: [tex]m_2=\frac{1}{2}[/tex] Observev that [tex]m_1=m_2[/tex], then you can conclude that the lines are parallel and the System of equations has No solution. When there is no solution the classification  of the system of equations is: "Inconsistent".