Answer:
3x+2y <=30
3x represents the roses, because each rose is 3 dollars. 2y represents the carnations, because each carnation is 2 dollars. The total amount of money spent (3x+2y) should be less than or equal to 30 dollars, since the problem says that she does not want to spend more than 30 dollars.
Hope this helps!
<span>3x = y + 7
</span><span> y =3x-7
</span>
<span>8x = 2y + 5
</span><span>8x = 2(3x-7) + 5
8x=6x-14+5
8x-6x=-9
2x=-9
x=-4.5
</span><span>8x = 2y + 5
</span>8(4.5)=2y+5
36=2y+5
2y=31
y=15.5
Plug the value of x in the equation
2(6 - y) = 8
12 - 2y = 8
-2y = -4
y = 2