This system of equations have a unique solution.
A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
The system of equations are
y = -1/3x + 7 ------- (1)
y = -2x^3 + 5x^2 + x - 2 ------- (2)
Equation 1 is a linear equation and equation 2 is a polynomial equation.
So graph these two equations to find the solution.
The graph below shows the plotting of these two equations and
solution of these equations.
From the graph, it is clearly seen that this system of equation has only one solution.
Hence we can conclude that this system of equations have a unique solution.
Learn more about system of equations here
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