which order pair is a solution of the system x+2y -2 and y<-3x+4
I got c
a (0,0)
b (2,-2)
c (-2,2)
d (5-4)
I think ur right
To determine which ordered pair is a solution of the system of equations, we need to substitute the values of the pair into the equations and check if the given conditions are satisfied.
Let's start with option a: (0,0).
For the first equation, substituting x = 0, y = 0:
0 + 2(0) - 2 = -2 ≠ 0
The first equation is not satisfied.
Now let's move to option b: (2,-2).
For the first equation, substituting x = 2, y = -2:
2 + 2(-2) - 2 = -2
The equation is satisfied.
Now let's check the second equation for option b:
-2 < -3(2) + 4
-2 < -6 + 4
-2 < -2
The inequality is satisfied.
So, option b, (2,-2), is a solution to the given system of equations.