Answer:
Step-by-step explanation:
think of this as a system of equations where the colors just represent a variable like x or y
I'll just arbitrarily set colors to some variable letter so we have
purple = x
green =y
blue =z
red = a
yellow = b
so we can now rewrite the 4 known equations of the system :)
Eq. 1) x+y = 13
Eq. 2) 2y+2z=18
Eq. 3) 2x+3y=31
Eq. 4) z + 4a = 12
Eq. 5) a * y = b
so solve the 1st eq for y => y =13-x then plug that into the 3rd eq and slove for x => 2x + 3(13-x) =31
2x + 39 -3x = 31
2x-3x = 31 - 39
-x = -8
<u>x=8</u>
plug 8 into Eq. 1 for x and solve for y
8+y = 13
<u>y=5</u>
plug y into Eq 1 and solve for z
2(5) +2z = 18
10 +2z = 18
2z = 8
<u>z = 4</u>
plug z into E1 4 and solve for a
4 + 4a = 12
4a = 8
<u>a = 2</u>
plug a and y into Eq 5 and solve b
2 * 5 = b
<u>10=b</u>
go to the drawing and plug in each of the color values that we put as variable letters above and get an A+ on your homework.. :)
