To determine whether an ordered pair is a solution of an equation, we need to substitute the given x and y values into the equation and see if the equation holds true.
1. Let's start with the equation y = 4x + 2 and the ordered pair (2,10).
- Substitute x = 2 and y = 10 into the equation: 10 = 4 * 2 + 2.
- Evaluate the expression on the right-hand side: 10 = 8 + 2.
- Simplify the equation: 10 = 10.
- Since both sides of the equation are equal, the ordered pair (2,10) is a solution.
2. Now, let's move on to the equation 2x + y = 5 and the ordered pair (7, 5).
- Substitute x = 7 and y = 5 into the equation: 2 * 7 + 5 = 5.
- Evaluate the expression on the left-hand side: 14 + 5 = 5.
- Simplify the equation: 19 = 5.
- Since both sides of the equation are not equal, the ordered pair (7, 5) is not a solution.
Therefore, the answers are:
- The ordered pair (2,10) is a solution to the equation y = 4x + 2.
- The ordered pair (7, 5) is not a solution to the equation 2x + y = 5.