1. Which of the following ordered pairs is a solution of 5x + 2y = -3?
a. (2,-4)
b. (-4,2)
c. (1,-4)
d. (-4,1)
is the answer: C?
To determine if a given ordered pair is a solution to the equation 5x + 2y = -3, substitute the x and y values into the equation and see if it is satisfied.
Let's check option C, which has the ordered pair (1, -4):
5(1) + 2(-4) = 5 - 8 = -3
The equation is satisfied since the left side of the equation is equal to the right side (-3), so yes, the answer is C.
To determine if a given ordered pair is a solution to the equation 5x + 2y = -3, you need to substitute the x and y values into the equation and see if it satisfies the equation.
Let's test each option:
a. (2, -4)
Put the values into the equation: 5(2) + 2(-4) = 10 - 8 = 2, which is not equal to -3. So, option a is not a solution.
b. (-4, 2)
Put the values into the equation: 5(-4) + 2(2) = -20 + 4 = -16, which is not equal to -3. So, option b is also not a solution.
c. (1, -4)
Put the values into the equation: 5(1) + 2(-4) = 5 - 8 = -3. This result is equal to the right-hand side, so option c is a solution.
d. (-4, 1)
Put the values into the equation: 5(-4) + 2(1) = -20 + 2 = -18, which is not equal to -3. So, option d is not a solution.
Thus, the correct answer is option c: (1, -4).