1 and 2 please and explain
1 answer:
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Answer:
The fraction is
Option (B) is correct.
and
Step-by-step explanation:
Let n denotes numerator and d denotes denominator of the fraction.
Given : The ratio of the numerator to the denominator of a fraction is 2 to 3.
That is
Cross multiply , we get,
Or, ........(1)
Also, given : . If both the numerator and the denominator are increased by 2, the fraction becomes 3/4
That is
Cross multiply , We get,
.........(2)
.......(3)
Thus, from (1) and (2) , option (B) follows.
Solving equation (1) and (3) to get the original fraction using elimination method,
3n - 2d = 0 ............(1)
and 3d - 4n = 2 .........(3)
Multiply equation (1) by 3 , we get ,
9n - 6d = 0 ..........(4)
Multiply equation (3) by 2 , we get ,
-8n + 6d = 4 ..........(5)
Adding (4) and (5) , we get,
9n - 6d -8n + 6d = 4 + 0
⇒ n = 4
Put n = 4 in (1), we get
3n - 2d = 0 ⇒ 3(4) - 2d = 0 ⇒ 12 -2d = 0 ⇒ 12 = 2d ⇒ d = 6
so, the numerator is 4 and the denominator is 6.
Thus, the fraction is
<em><u>The pair of like terms are:</u></em>
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
We have to find the pairs that are like terms in the given expression
Like terms means that, terms that have same varibale but different ( or same ) coefficients
Here in the given expression "x" and "y" are the two variables present
Arrange the like terms
So here the first two terms has same varibale "y" but different coefficients. So they form a pair of like terms
"x" is present only once . There is no other term with variable "x"
6 and -2 are constants
So the pair of like terms are: