Final answer:
To solve for x and y in the equation (4x-3, 5) = (9, 2y+7), we equate and solve each corresponding element resulting in x equals 3 and y equals minus one.
Step-by-step explanation:
To find the values of x and y when given the equation (4x-3, 5) = (9,2y+7), we need to understand that in order for two ordered pairs to be equal, their corresponding elements must also be equal. This means that the first elements of each ordered pair must be equal (4x - 3 = 9) and the second elements must also be equal (5 = 2y + 7).
Let's solve each equation separately:
- For the first equation 4x - 3 = 9, add 3 to both sides to get 4x = 12, and then divide both sides by 4 to find x = 3.
- For the second equation 5 = 2y + 7, subtract 7 from both sides to get -2 = 2y, and then divide both sides by 2 to find y = -1.
Therefore, the values are x = 3 and y = -1.