Answer: To determine if the ordered pair (x, y) is a solution of the given system of equations, you need to substitute the values of x and y into each equation and check if both equations hold true.
Given system of equations:
2x - y = 1
5x - 3y = 1
Let's substitute the values of x and y from the ordered pair (x, y) into each equation:
For equation 1:
2x - y = 1
Substituting x = 2 and y = -1:
2(2) - (-1) = 4 + 1 = 5
For equation 2:
5x - 3y = 1
Substituting x = 2 and y = -1:
5(2) - 3(-1) = 10 + 3 = 13
Now, compare the results of each equation with the right-hand side of the respective equation:
For equation 1: 5 (left side) ≠ 1 (right side)
For equation 2: 13 (left side) ≠ 1 (right side)
Since both equations do not hold true when substituting the values of x = 2 and y = -1, the ordered pair (2, -1) is not a solution of the given system of equations.
Step-by-step explanation: Hope this helps!