Question

write a system of equations in x and y describing the situation. do not solve the system. a smaller number and a larger number add up to 6 and have a difference of 2. (let x be the larger number and y be the smaller number.) choose a system of equations describing the situation.
2x = 6
x - y = 2
x + y + 6 = 0
x - y + 2 = 0
x + y = 6
x - y = 2
2x + 2y = 6
x - y = 2

Explanation:

Step1: Set up equations based on the problem

Let \(x\) be the larger number and \(y\) be the smaller number. The sum of the two numbers is 6, so \(x + y=6\). The difference between the two numbers is 2, so \(x - y = 2\).

Answer:

\(

$$\begin{cases}x + y=6\\x - y = 2\end{cases}$$

\)