Model each problem as an equation, and then match to its solution.

Part 1) The larger integer is 11

Part 2) The denominator is 5

Part 3) The positive integer is 4

The graph in the attached figure

Step-by-step explanation:

Part 1)

Let

x----> the smaller positive integer

y-----> the larger positive integer

we know that

-----> equation A

-----> equation B

substitute equation B in equation A and solve for y

using a graphing calculator-----> solve the quadratic equation

The solution is y=11

Part 2)

Let

x----> the numerator of the fraction

y-----> the denominator of the fraction

we know that

----> equation A

----> equation B

substitute equation A in equation B and solve for y

Part 3)

Let

x----> the positive integer

we know that

solve for x

using a graphing calculator-----> solve the quadratic equation

The solution is x=4

the line of