AB = BC, so 3x-2 = 2x+4. Also, BC = CA, so 2x+4=x+10.
Solve this system of linear equations:
3x-2 = 2x+4
2x+4=x+10 => x=6
Check: Does AB=BC? Does AB=BC?
Does 3(6)-2 = 2(6)+4? Does 16=16? YES.
Does BC = CA? Does 2(6)+4 = 6+10? YES
x = 6 (answer)
Answer:
Thus last month Calvin made $414.90 from all the paintings sold at the art shows.
Step-by-step explanation:
Let us first analyse the given information in the question:
→ Small paints (lets call them
) sell for $25.80 Per Painting, thus:
gives as the profit for
number paints sold.
→ Large paints (lets call them
) sell for $56.25 Per Painting, thus:
gives as the profit for
number paints sold.
We also know last month he sold six large paintings and three small paintings thus from our variables above we can say:
Eqn(1).
Thus the total profit of all paintings sold would be:
which by pluggin in Eqn(1) values gives

Thus last month Calvin made $414.90 from all the paintings sold at the art shows.
Simplify
2(7)-3(6)
= 14-18 = -4
LW = A
L(L - 3) = 18
L^2 - 3L - 18 = 0
(L - 6) (L + 3) = 0
L could be 6 or -3 ( -3 cannot be a length of a side of a rectangle since it’s negative.)
So L = 6 and W= 3