Question

Write equation to graph numbers that will satisfy each constraint

Answer 1

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

Step-by-step 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`