What is the solution of 1/x+1/3 1/5

question is solve solve for X 1 upon X + 1 + 3 upon 5 x + 1 is equal to 5 upon X + 4 y axis what is equals to minus 1 minus 1 by 5 and minus 4 1st level simplify the left hand side of this equation inside a small upon X + 1 + 3 upon 5 x + 1 take LCM of the nominator X + 1 into X + 1 now LCM divided by X + 1 we will get 5 x + 1 X with numerator is one again 56 + 1 / LCM we will get Express One X with three that is nominator no further

simplify the numerator we will get x 5 x + 1 + sin x with respect to X + 3 upon to nominate in which denominator X X with 56 + 1 and 1 X with 5 x + 1 against further simplification of numerator 5 x + 3 X is a text + 1 + 3 x 4 upon X into 56 is 56 Cube + X into one is X + 1 X with this equation when we will get 5 x + 1 further simplify this 8 x + 4 upon 5 x square + 56 X + 1

now write both left and sign and rising sign simplified left hand side actors plus 4 upon 5 x + 6 X + 1 is equals to write inside is 5 upon X + now cross multiply in which pneumonia of left and Science multiply with denominator of right inside that is 8 x + 4 2 X + 4 is equals to numerator of right inside is 5 x denominator of left inside is 56 + 6 + 1 no simplify this equation by 8 x x with this Racket then we will get 8 x x + 4 + 4 x with respect 4 Into X + 4 is equal

to 5 multiply with this whole bracket then we will get 525 6 plus 5638 plus 5 now further 8 x Into X square + 18 24 32 X + 4 x + 16 is equal to 25 x cube + 30 X + 5 no in next further simplify square + 32 X + 4 x is 36 X + 16 - 25 in this step will shift to left inside to write inside to left hand side so science kits is changed - 25 - 30 x minus 5 is equal to zero x q and minus

25 x is - 17 X 36 - 38 + 65616 - 5 x + 11 is equal to zero take negative sign common from these questions then we will get 17 - 6 x minus 11 is equals to zero no next to Sangat reduce solah result 2017 13 - 6 x minus 11 is equals to zero next level factorise this equation to 70 x cube - 17 X + 11 x minus 6 x is written as - 17 X + 11 x visa question now in first two

terms we will get common 17 x x minus 1 + last two terms will get common 11 that is x minus 1 is equals to zero in next step next step common X -1 and 17 X + 11 Y = 20 not take both equal to zero x minus 1 is equal to zero and 17 x minus 1 + 1 is equal + 11 is equals to zero X is equals to 0 + 1 and X is equals to 1 in which 17 x is equal to minus 11 x is equals to minus 11

upon 17 the final answer is X is equals to 1 and minus 11 upon 17 thank you

`14/(x+3)-1=5/(x+1); xne-3,-1`

It can be rewritten as:

`14/(x+3)-5/(x+1)=1`

`(14(x+1)-5(x+3))/((x+1)(x+3))=1`

`(14x+14-5x-15)/(x^2+4x+3)=1`

`(9x-1)/(x^2+4x+3)=1`

On cross multiplying, we get:

9x−1= x2+4x+3

⇒x2−5x+4 = 0
⇒x2−4x−x+4 = 0
⇒x(x−4)− (x−4)=0
⇒(x−1) (x−4)=0
⇒x=1, 4

Thus, the solution of the given equation is 1 or 4.

Selina Solutions Class 6 Mathematics Solutions for Exercise 22(A) in Chapter 22 - Simple (Linear) Equations (Including Word Problems)

Question 1 Exercise 22(A)

Q1) Solve:

(i) x + 2 = 6

(ii) x + 6 = 2

(iii) y + 8 = 5

(iv) x + 4 = - 3

(v) y + 2 = - 8

(vi) b + 2.5 = 4.2

(vii) p + 4.6 = 8.5

(viii) y + 3.2 = - 6.5

(ix) a + 8.9 = - 12.6

(x) x + 2\frac{1}{3} = 5

(xi) z + 2 = 4\frac{1}{5}

(xii) m + 3\frac{1}{2}=4\frac{1}{4}

(xiii) x + 2 = 1\frac{1}{4}

(xiv) y + 5\frac{1}{3}= 4

(xv) a + 3\frac{1}{5}=1\frac{1}{2}

Answer:

Solution 1:

(i) x + 2 = 6

x = 6 - 2

x = 4

(ii) x + 6 = 2

x = 2 - 6

x = -4

(iii) y + 8 = 5

y = 5 - 8

y = -3

(iv) x + 4 = -3

x = -3 -4

x = -7

(v) y + 2 = -8

y = -8 -2

y = -10

(vi) b + 2.5 = 4.2

b = 4.2 - 2.5

b = 1.7

(vii) p + 4.6 = 8.5

p = 8.5 - 4.6

p = 3.9

(viii) y + 3.2 = -6.5

y = -6.5 -3.2

y = -9.7

(ix) a + 8.9 = -12.6

a = -12.6 -8.9

a = -21.5

(x) x + 2\frac{1}{3} = 5

x + \frac{7}{3}=5

x = 5-\frac{7}{3}=\frac{15-7}{3}=\frac{8}{3}

x = 2\frac{2}{3}

(xi) z + 2 = 4\frac{1}{5}

z + 2 = \frac{21}{5}

z = \frac{21}{5}-2=\frac{21-10}{5}=\frac{11}{5}

z = 2\frac{1}{5}

(xii) m + 3\frac{1}{2}=4\frac{1}{4}

m + \frac{7}{2}=\frac{17}{4}

m = \frac{17}{4}-\frac{7}{2}=\frac{17-14}{4}=\frac{3}{4}

(xiii) x + 2 = 1\frac{1}{4}

x + 2 = \frac{5}{4}

x = \frac{5}{4}-2=\frac{5-8}{4}=\frac{-3}{4}

x = -\frac{3}{4}

(xiv) y + 5\frac{1}{3}= 4

y + \frac{16}{3}=4

y = 4-\frac{16}{3}=\frac{12-16}{3}=\frac{-4}{3}

y = -1\frac{1}{3}

(xv) a + 3\frac{1}{5}=1\frac{1}{2}

a + \frac{16}{5}=\frac{3}{2}

a = \frac{3}{2}-\frac{16}{5}=\frac{15-32}{10}=\frac{-17}{10}

a = -1\frac{7}{10}

Video transcript

Hello and welcome to lido learning today we are going to see how to solve the equations we have 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 equations are there we are going to solve these 15 equations let's do it we are going to find the variable values the first one x plus 2 equal to 6 so x equals to 6 minus 2 when the plus 2 comes to the right side it will become minus 2 minus 2 x equals to 4 this is the first one-second one x plus 6 equals to 2 now we the same steps when it goes to the rhs side 2 minus 6 when we check here the bigger number has the sign of minus sign the bigger number as a minus sign so the definite answer will be minus okay there will be cure number as much The definite answer will be minus and so we should keep it directly here minus so plus c to minus what is the plus into minus is minus so 6 minus 2 is 4 so the answer is minus 4 okay here 4 and here is minus 4 let me go with the third one [Music] in the third one you can see y plus eight equals to five y plus eight equals to five when we look into here y equals five minus eight same thing we should follow up for all roles then y equals to minus 3 because the higher number has a minus and the number is minus so plus into a minus minus 8 minus 5 is 3 so y equals 3 now let's do with the In other cases, I am wrapping it up the next one is x plus 4 equals to minus 3 you can also do it on your own take care of can do it the fourth one x plus 4 equals to minus 3 x is equal to when the 4 move outside minus 3 minus 4 x equals to minus 7 okay the next one fifth one y plus 2 equals to minus 8. y equals to minus eight minus two y equals to minus ten then we go with next cases sixth one b plus 2.5 we do in the next clear page p plus 2.5 is equal to 4.2 v equals to four point two minus two point five getting the LHS two RHS so we can get now four point two minus Two-point five to do it in rougher four points, two minus 2.5 you can write in 4.2 minus 2.5 it is 10 12 it will be 12 will be 7 it will be 1 case 3 of this one so 17 it is 1.7 so it will be one point seven b value is one point we'll do with the next one that is p plus 4.6 equals to 8.5 this seventh one p equals to eight point five minus four point six you can do we should keep the decimals the same place four point six it is fifteen so it will be five plus four nine and it will be two minus here this seven minus four is three point nine is the answer p-value is three-point nine Three points, nine okay yeah then we see for the other one we have done seven things we are left with eight more we should check with the latches and arches when we take the number from the lhs and rhs Let's do our h.2 we need to change the A sign that's it let me go with the eighth one y plus 3.2 equal to minus 6.5 y equals to minus 6.5 minus 3.0 so it will be minus into minus plus we know six-point five three-point two it is also in itself it will be a plus we should add it now seven six seven eight nine nine-point seven minus nine point seven so the answer will be minus nine points seven okay let me go with the next one oh next one is ten eighth ninth one ninth one a plus 8.9 equals to minus 12.6 an equal to minus twelve point six minus eight points nine so again we should add it because minus nine minuses is plus twelve point six minus eight point nine should add it six plus nine expressions is fifty-one carry eleven and carrying two twenty one point five so the final The answer will be minus 20 1.5 okay yeah we'll do it with the other six you should concentrate while changing from LHS to rhs that's it now we are done with the tenth one jordan 10th one right x into 2 1 by 3 equals to 5 x equals 2 1 by 3 is 2 by 3 we can write it as 2 by 3 you can say 2 by 3 or not we can say it as 2 by 3 2 1 by 3 as 3 2 6 6 plus 1 7 by three this seven by three will not say two by three it is seven by three into equals to five okay then when we check here x is equal to 15 by seven Here's what we did: a mixed fraction. three to six x plus one and seven by three so we have taken three, three, multiplied with five we got fifteen by 7 so 15 by 7 will be 2.5 okay 2.5 then the next one-eleventh one z play two equals to four one by five set equals to 4 1 by 5 minus 2 z equals to 5 4 20 21 by 5. minus 2 so you can take it as 21 minus 10 by 5 it is because we have multiplied here 5 and divided by 5. it will be the same now so the denominator is taken common so It's 11 by 5 it is also 2.5 2.5 okay then we go with other things the left is 12 which means 14 15. You're left with four things in the mixer fractions which are converted into a improper fraction first and then we should solve it again same as the fractions now we go with the 12th one m plays three one by two is equal to four one by four m plus it will be written as three to the six plus one seven by two four four sixteen plus one seventeen by two seventeen by four itself m equals to seventeen by four minus seven by two when we take it this one m equals to taking 4 celsium we are multiplying it numerator by 2 and denominator by 2 becoming 17 minus 7 to the fourteenth three by four what is the value of three by four you can directly find it out by doing the division four zeros we can keep zero four seven zero twenty-eight and two left with us twenty again four five zero point seven five three by four is zero point seven five now go with the 13th one the 13th is also the same as this only you should see the mixer fractions first which convert the mixer fraction that's it the 13th one is 13th one x plus 2 equals to 1 1 by 4. you can say the mixture fraction as The proper fraction is four of four plus one five by four x equals five by four minus two so it will be four by four and divided by 4 is 5 minus 8 minus 3 by 4 so the answer will be minus 0.75 same but here the minuses came because 5 minus 8 is minus 3 it is not plus 3 okay then you see the other one by raising this the other case is fourteenth one y plus phi one by three equals to four y plus 5 3 15 plus 1 16 by 3 equals 4 y plus 16 by 3 value is how much we can find out is called 2 which removes this plus is equals to 4 minus 16 by 3 so we can take it as a fourth of 12 minus 16 by 3 minus 4 by 3 okay the answer is minus 4 3 now go with the The next one 15th one the 15th one has last one fifteenth one a plus three one by five one one by two a equals to two one two plus one three by two minus y theta fifteen plus one sixteen by five it is completely lcm is ten yeah it will be multiplied by five here it will be multiplied by two okay yeah five these are 15 to the 16 to the 32 now we can see that the answer is 32 minus 15 3 is to minus 15 is 7 117 17 by 10 it is minus 17 by 10 The ultimate answer is minus 7 I hope you understand all the questions if you have any query, you can put it down in the comment section and thank you for watching this video

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