Question

write equation to graph numbers that will satisfy each constraint

Answer 1

Answer

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

Explanation:

Given Constraint:

$\begin{gathered} \text{The sum is 6.} \\ \text{The difference is 6.} \end{gathered}$

What to find: The equations to graph numbers that will satisfy each constraint.

Constraint: The sum is 6

Let the variables be represented by x and y.

So, the sum of the variables implies:

$x+y$

Since the sum is 6, then the equation to graph numbers that will satisfy the first constraint is:

$x+y=6$

Constraint: The difference is 6

Let the variables be represented by x and y.

So, the difference of the variables implies:

$x-y$

Since the difference is 6, then the equation to graph numbers that will satisfy the second constraint is:

$x-y=6$