Ashley and losa each improved their yards by planting dayliles and shrubs. they bought their supplies from the same store. ashley spent $45 on 7 daylilies and 2 shrubs. lisa spent $174 on 14 daylilies and 11 shurbs. what is the cost of one daylily and the cost of one scrub?

Let x be cost of one daylily and y be the cost of one scrub.

Ashley spent $45 on 7 daylilies and 2 shrubs. 7 daylilies cost 7x and 2 shrubs cost 2y, in total 7x+2y that is $45. The first equation is 7x+2y=45.

Lisa spent $174 on 14 daylilies and 11 shurbs. 14 daylilies cost 14x and 11 shrubs cost 11y, in total 14x+11y that is $174. The second equation is 14x+11y=144.

Solve this system. Wit hthis aim multiply first equation by 2 and the subtract second equation from first:

2·(7x+2y)-(14x+11y) =2·45-174,

14x+4y-14x-11y=90-174,

-7y=-84,

7y=84,

y=84÷7,

y=12.

Then substitute into first equation:

7x+2·12=45,

7x+24=45,

7x=45-24,

7x=21,

x=21÷7,

x=3.

the cost of one daylily is $3 and the cost of one scrub is $12.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: