Question

Hey! Can someone help me? Step by step on this practice problem? I’m confused :(

Answer 1

Given:

`\left\{ \begin{aligned}y>-2 \\ x+y\leq4\end{aligned}\right?`

Let's satisfy the following conditions:

when y > -2

when x+y ≤ 4

From the options given, only the following satisfy the condition when y is greater than -2:

(x, y)==> (1, 3) and (1, 5)

Also, let's check which of them satisfies when x+y is less or equal to 4

For (1, 3) ==> x+y = 1 + 3 = 4

For (1, 5) ==> x + y = 1 + 5 = 6 (here x=y is 6 which is greater than 4, and it does not satisfy this condition)

We can see that the pair that satisfies this condition is: (1, 3)

This is because, y is greater than -2, while x+y is 4

ANSWER:

(1, 3)