Question

solve the following equations and check your answer ​

Answer 1

Answer:

THE CORRECT ANSWER IS X=4

Answer 2

☆Question :-

$\rm \dfrac{3x - 2}{10} - \dfrac{x + 3}{7} + \dfrac{4x - 7}{3} = x - 1$

☆Solution :-

$\rm \dfrac{3x - 2}{10} - \dfrac{x + 3}{7} + \dfrac{4x - 7}{3} = x - 1$

Taking L.C.M of 10 , 7 and 3 .

L.C.M of 10 , 7 and 3 is 210 .

$\rm :\implies {\huge(} \dfrac{3x - 2} { \cancel{10}} \times \cancel{210 } { \huge)} - { \huge(} \dfrac{x + 3}{ \cancel7} \times \cancel{ 210} { \huge)} + { \huge(} \dfrac{4x - 7}{ \cancel3} \times \cancel{ 210}{ \huge)} =210 {\huge(}x - 1 { \huge)}$

$\rm:\implies21(3x - 2) -30 (x + 3) + 70(4x - 7) = 210(x - 1)$

$\rm:\implies63x- 42 -30x - 90 + 280x - 490 = 210x - 210$

Now, taking all like variables in one place and solving them .

$\rm:\implies63x -30x + 280x - 490 - 42 -90 = 210x - 210$

$\rm:\implies33x + 280x - 532 -90 = 210x - 210$

$\rm:\implies313x - 622= 210x - 210$

Now we need to bring R.H.S x to L.H.S then it's symbol changed into negative from positive. And also the number in L.H.S to R.H.S so, it's symbol also changes from Negative to Positive.

$\rm:\implies313x - 210x= 622 - 210$

$\rm:\implies103x= 412$

$\rm:\implies \: x= \cancel \dfrac{412}{103}$

$\rm:\implies \underline{ \underline{\: x= \bf{4}}}{\huge\star}$