Tell whether the ordered pair is a solution of the equation. Just substitute the given x and y to see if the equation “works”. Write “solution” if it works and “not solution” if it doesn’t.
y=4x + 2; (2,10)
2x + y = 5; (7, 5)
For the equation y = 4x + 2 and the ordered pair (2,10), we substitute x = 2 and y = 10 into the equation:
10 = 4(2) + 2
10 = 8 + 2
10 = 10
Since both sides of the equation are equal, the ordered pair (2,10) is a solution.
For the equation 2x + y = 5 and the ordered pair (7,5), we substitute x = 7 and y = 5 into the equation:
2(7) + 5 = 5
14 + 5 = 5
19 = 5
Since the left side of the equation does not equal the right side, the ordered pair (7,5) is not a solution.
To determine if the ordered pair is a solution of the equation, we can substitute the given x and y values into the equation and see if both sides are equal.
1) y = 4x + 2; (2, 10)
Substituting x = 2 and y = 10 in the equation:
10 = 4(2) + 2
10 = 8 + 2
10 = 10
Since both sides are equal, the ordered pair (2, 10) is a solution of the equation.
2) 2x + y = 5; (7, 5)
Substituting x = 7 and y = 5 in the equation:
2(7) + 5 = 5
14 + 5 = 5
19 = 5
Since both sides are not equal, the ordered pair (7, 5) is not a solution of the equation.
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.