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KIM [24]
3 years ago
7

NEED HELP WITH THIS

Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

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..  :)

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