Question

Micaela and Chelsea each improved their yards by planting rose bushes and ivy. They bought their supplies

Answer 1

Answer:  A rose bush, r, cost $8; one pot of ivy, i, cost $6;

Step-by-step explanation:

$\left \{ {{5r + 3i =58} \atop {5r+10i=100}} \right.$

We combine them by minus, we get:

    5r + 3i = 58

-    5r + 10i = 100

           - 7i = - 42

               i = 6

We plug in i = 6 to the first equation, we get:

     5r + 3(6) = 58

        5r + 18 = 58

                5r = 40

                  r = 8

Answer 2

Answer:

Step-by-step explanation:

Let:

i: the cost of one pot of ivy.

r: the cost of one rose bush

$5r+3i=58 ......(1)\\5r+10i=100.......(2)$

From eq(1) we can get:

$r=\frac{58-3i}{5}$

Substitute eq(1) in eq(2):

$5(\frac{58-3i}{5})+10i=100\\58-3i+10i=100\\7i=100-58\\i=\frac{42}{7} =6$

$r=\frac{58-3i}{5} \\r=\frac{58-3(6)}{5} \\\\r=8$