The system of equation 2x + y = 2 y = –2x – 1 has infinitely many solutions because the coefficient of the x and y in the equations are same.
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of equations:
2x + y = 2 …(1)
y = –2x – 1 or
2x + y = -1 ...(2)
As we can see the coefficient of the x and y in the equation (1) and (2) are same which means they infinitely many solutions.
Thus, the system of equation 2x + y = 2 y = –2x – 1 has infinitely many solutions because the coefficient of the x and y in the equations are same.
Learn more about the linear equation here:
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