In Lily's garden, there are 5 rose bushes the first year. Each year, she adds two new rose bushes. She has 20 tulip plants the first year and loses 3 each year. When will the number of rose bushes equal
the number of tulip plants? Use graphing to find the solution.

Step-by-step explanation:

Let x = the number of years since the first year and let y = the total number of plants.

Roses: y = 5 + 2x

Tulips: y = 20 – 3x

You can use elimination to solve.

y = 5 + 2x

(-)y = 20 – 3x

0 = -15 + 5x

15 = 5x

3 = x

This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.

The graphs appear to

intersect at (3, 11) which verifies that x=3

4 years

explanation in JPEG below

positive

step-by-step explanation:

the quadrant is facing upwards