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Zarrin [17]
3 years ago
14

Need help!!solve the system of equations by elimination.3x - y = 104x + 2y = 40

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

Multiply the top equation by 2 and combine both equations to leave x alone. It is better if you do this vertically but it is hard here.

(6x-2y=20)+(4x+2y=40)

10x=60

x=6

Plug x back in to one of the equations.

3(6)-y=10

18-y=10

-y=-8

y=8

Your solution is (6,8)

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denis-greek [22]

Answer: There are 3615 buttons

Step-by-step explanation:

From this situation we can write a system of equations if we tag the orange buttons with o, the yellow buttons with y, the green buttons with g and the blue buttons with b:

There were 820 orange buttons:

o=820 (1) Number of orange buttons

The number of orange buttons was 160 fewer than the number of yellow buttons:

o=y-160 (2)

The number of orange buttons was 210 more than the number of green buttons:

o=g+210 (3)

1/3 of the total number of buttons in the container were blue buttons:

If the total is the sum of the buttons of each color, we have:

\frac{1}{3}(o+y+g+b)=b (4)

At this point we have our system with 4 equations and 4 unknowns.

Let's begin by substituting (1) in (2):

820=y-160 (5)

Isolating y:

y=980 (6) Number of yellow buttons

Subsituting (1) in (3):

820=g+210 (7)

Isolating g:

g=610 (8) Number of green buttons

Substituting (1), (6) and (8) in (4):

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Isolating b:

b=1205 (10) Number of blue buttons

Now we can find the total number of buttons:

o+y+g+b=820+980+610+1205=3615 (11) This is the total number of buttons

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