Question

Which ordered pair (a, b) is the solution to the following system of equations?

a) (4, 2)
b) (-2, 3)
c) (0, -5)
d) (1, 1)

Answer 1

The ordered pair (1, 1) option d is the solution to the given system of equations.

Step-by-step explanation:

The ordered pair (a, b) that is the solution to the given system of equations can be found by substituting the values of a and b into the equations and checking if they satisfy both equations. Let's check each option:

1. (4, 2): When we substitute a = 4 and b = 2 into the equations, we get 4(4) + 2 = 18 and 2(4) - 3 = 5. Therefore, this is not a solution to the system of equations.
2. (-2, 3): Substituting a = -2 and b = 3 into the equations, we get -2(-2) + 3 = 7 and 2(-2) - 3 = -7. This is also not a solution.
3. (0, -5): Plugging a = 0 and b = -5 into the equations, we get 0(0) + (-5) = -5 and 2(0) - 3 = -3. This is also not a solution.
4. (1, 1): Substituting a = 1 and b = 1 into the equations, we get 1(1) + 1 = 2 and 2(1) - 3 = -1. This satisfies both equations, so the ordered pair (1, 1) is the solution to the system of equations.

Therefore, the correct answer is (1, 1)option d.