tell whether each ordered pair is a solution of the eguation 3x + y = -11, (-4,1)
2x -y = 4, (3, -2)
is
3(-4) + 1 = -11 ?????
To determine whether each ordered pair is a solution to the equation, we need to substitute the values of x and y into the equation and check if the equation holds true. Let's go through each ordered pair one by one:
1. For the equation 3x + y = -11 and the ordered pair (-4,1):
Substituting x = -4 and y = 1 into the equation, we get:
3(-4) + 1 = -12 + 1 = -11
The equation holds true for this ordered pair because -11 = -11. Therefore, (-4,1) is a solution to 3x + y = -11.
2. For the equation 2x - y = 4 and the ordered pair (3, -2):
Substituting x = 3 and y = -2 into the equation, we get:
2(3) - (-2) = 6 + 2 = 8
The equation does not hold true for this ordered pair because 8 is not equal to 4. Therefore, (3, -2) is not a solution to 2x - y = 4.
In summary:
- (-4,1) is a solution to 3x + y = -11.
- (3, -2) is not a solution to 2x - y = 4.