Respuesta :
The solution to the given system of equations y = -x + 2 are option A. (-2,4) and D. (4,-2).
What is a system of equations?
A system of equations is two or more equations that can be solved together to get a unique solution. the power of the equation must be in one degree.
The equation is given as
y = -x + 2
here, we need to find the solutions to the equation, we can apply the given options one by one to satisfy the equation.
For the solution
A. (-2,4)
y = -x + 2
Substitute the value x = -2 and y = 4
y = 4
-x + 2 = -(-2) + 2 = 4
Thus, the given solution are the system of equation.
For the solution
B. (0,-4)
y = -x + 2
Substitute the value x = 0 and y = -4
y = -4
-x + 2 = 0 + 2 = 2
Thus, both the sides are not equal so, the given solution are not the system of equation.
For the solution
C. (2,-4)
y = -x + 2
Substitute the value x = 2 and y = -4
y = -4
-x + 2 = 2 + 2 = 4
Thus, both the sides are not equal so, the given solution are not the system of equation.
For the solution
D. (4,-2)
y = -x + 2
Substitute the value x = 4 and y = -2
y = -2
-x + 2 = -4 + 2 = -2
Thus, the given solution are the system of equation.
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