Question

solve the equation and check your answer.​

Answer 1

$\huge{{\huge{\boxed{\huge{\red\star\mathfrak\purple{\large{\underline{\underline{ First \:Answer }}}}}}}}}$

$\bold{ \frac{13x - 8}{4x + 1} = 2}$

By cross multiplication,

$\bold { \implies13x - 8 = 2(4x + 1)}$

$\bold{ \implies13x - 8 = 8x + 2}$

$\bold{ \implies13x - 8x = 2 + 8}$

$\bold{ \implies5x = 10}$

$\bold{ \implies \: x = \frac{10}{5} }$

$\boxed{ \red{ \bold{ \implies \: x = 2}}}$

Verification:-

L.H.S

$\boxed {\bold \red{ \frac{13x - 8}{4x + 1} = \frac{13 \times 2 - 8}{4 \times 2 + 1} = \frac{26 - 8}{8 - 1} = \frac{18}{9} = 2 }}$

R.H.S

=2

L.H.S= R.H.S

$\huge{{\huge{\boxed{\huge{\red\star\mathfrak\purple{\large{\underline{\underline{ Second\:Answer}}}}}}}}}$

$\bold{ \frac{4x -3 }{x + 3} = 5}$

$\bold{ \implies4x - 3 = 5(x + 3)}$

⟹4x-3= 5x+15

⟹4x-5x= 15+3

⟹-x= 18

⟹x=-18

Verification:-

4(-18)-3= 5(-18)+15

⟹ -72-3= -90+15

⟹-75= -75

L.H.S= R.H.S

Answer 2

1)
13x -8=2(4x+1)
13x -8=8x+2
13x -8x= 2+8
5x = 10
x = 2

cheking:-

Sub x=2 in L.H.S

=(13(2) -8)/4(2)+1
=(26-8)/8+1
= 18/9
=2

L.H.S = R.H.S


2)

4x -3 = 5(x+3)
4x -3 = 5x + 15
4x - 5x = 15+3
-x = 18
x= -18

Checking:-
Sub x= -18 in L.H.S
=(4(-18)-3)/-18+3
=(-72-3)/-15
= -75/-15
=5
L.H.S = R.H.S