Question

Consider the following equation. 2y=3x+5 Determine whether each of the ordered pairs is a solution to the equation. Drag each to Yes or No for each ordered pair.

Answer 1

To determine if an ordered pair is a solution to the linear equation 2y = 3x + 5, substitute the x and y values into the equation and check if the equation is valid. If the left side equals the right side after substitution, the pair is a solution; otherwise, it is not.

Step-by-step explanation:

To determine whether each of the ordered pairs is a solution to the equation 2y = 3x + 5, we need to substitute the x and y values from each pair into the equation and see if the equation holds true. If it does, then the ordered pair is a solution to the equation; if not, it is not a solution.

Here is how you can test a potential solution, let's say the ordered pair (x, y):

1. Substitute the x value from the pair into the equation in place of x.
2. Substitute the y value from the pair into the equation in place of y.
3. Check to see if the equation is balanced after the substitution. If both sides of the equation are equal, the pair is a solution (Yes). If not, it is not a solution (No).

For example, if we have the ordered pair (3, 4), we would substitute to get 2(4) = 3(3) + 5, which simplifies to 8 = 14. This equation is not true, therefore (3, 4) is not a solution.