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algol13
3 years ago
7

How many solutions does the system x = -3y + 2 -4x - 12y = -8 have?​

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

Infinitely many solutions.

Step-by-step explanation:

x=-3y+2

-4x-12y=-8

----------------

-4(-3y+2)-12y=-8

12y-8-12y=-8

-8=-8

infinitely many solutions

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Solve the System of Equations
soldi70 [24.7K]

Answer:

Equations: x+y=80\,,\,2x+4y=216\,\,

number of chickens = 52

number of goats = 28

Step-by-step explanation:

Given: A small ranch has chickens and goats

Total number of heads = 80

Total number of legs = 216

To find: number of chickens and goats

To draw: the graph

Solution:

Let x denotes number of chickens and y denotes number of goats.

According to the question,

x+y=80\,\,(i)\\2x+4y=216\,\,(ii)

From (i), put x=80-y in (ii)

2(80-y)+4y=216\\160-2y+4y=216\\2y=216-180\\2y=56\\y=\frac{56}{2}=28

Put y=28 in equation (i)

x+28=80\\x=80-28=52

So,

number of chickens = 52

number of goats = 28

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3 years ago
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Initial is 12
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Y=12(1.05)(5)
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