Given that (9, 𝑥 − 6) = (𝑦 + 4, −5), determine the value of 𝑥 + 𝑦.
Given that nine, 𝑥 minus six is equal to 𝑦 plus four, negative five, determine the value of 𝑥 plus 𝑦.
If the two ordered pairs given are equal, their individual components must be equal. Nine must be equal to 𝑦 plus four, and 𝑥 minus six is equal to negative five. To solve the first equation, we subtract four from both sides. This gives us 𝑦 is equal to five. To solve the second equation, we need to add six to both sides. As negative five plus six is equal to one, 𝑥 is equal to one. We can now substitute these values into the expression 𝑥 plus 𝑦. One plus five is equal to six. This means that the value of 𝑥 plus 𝑦 is six.