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stiks02 [169]
2 years ago
6

Solve the equation 2a+b=2a, where a and b are nonzero, real numbers. Describe the solution to this equation and justify your des

cription.
Mathematics
1 answer:
ss7ja [257]2 years ago
3 0
<span>To solve this equation we can first assume that both a and b are nonzero real numbers. Hence, A = 1 b = 1 <span><span>
1.   </span>2 (1) + 1 = 2(1)</span> <span><span>
2.   </span><span> 2 + 1 = 2: now this a false equation since there is not equality, the equation cannot retain the equal sign but will become 2 + 1 > 2. Leaving the relationship unequal.

</span></span>However, the alternative to this problem is to be b = 0. To oversee the rule in order to solve the equation retaining it as an “equation”. Further, there is no other solution for this equation. A = 1 b = 0
<span>1.   Which becomes 2(1) + 0 = 2(1)</span> <span><span>
2.   </span><span> 2 + 0 = 2 :
3.    2 = 2. Here we can observe the equality. </span></span> </span>
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A farmer raises only ducks and pigs. There are 55 animals in all on his farm, and 146 legs.
nordsb [41]

Answer:

Number of ducks = 37

Number of pigs = 18

Step-by-step explanation:

Let,

x be the number of ducks

y be the number of pigs

According to given statement;

x+y=55     Eqn 1

2x+4y=146     Eqn 2 (As ducks will have 2 legs and pigs will have 4)

Multiplying Eqn 1 by 2

2(x+y=55)

2x+2y=110    Eqn 3

Subtracting Eqn 3 from Eqn 2

(2x+4y)-(2x+2y)=146-110

2x+4y-2x-2y=36

2y=36

Dividing both sides by 2

\frac{2y}{2}=\frac{36}{2}\\y=18

Putting y=18 in Eqn 1

x+18=55

x = 55-18

x = 37

Hence,

Number of ducks = 37

Number of pigs = 18

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Divide fractions 1/2 divided by 1/6
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