Question

solve the following equations and check your answer 1. X+3/7-2x-5/3=3x-5/5-25​

Answer 1

Question:

$\rm \implies \: \dfrac{x + 3}{7} - \dfrac{2x - 5}{3} = \dfrac{3x - 5}{5} - 25$

Answer:

$\rm \bullet \:\: x = 25$

Explanation:

$\rm \implies \: \dfrac{x + 3}{7} - \dfrac{2x - 5}{3} = \dfrac{3x - 5}{5} - 25$

$\rm \implies \: \dfrac{3(x + 3) - 7(2x - 5)}{21} = \dfrac{3x - 5 - 125}{5}$

$\rm \implies \: \dfrac{3x + 9 - 14x + 35}{21} = \dfrac{3x - 130}{5}$

$\rm \implies \: \dfrac{ - 11x + 44}{21} = \dfrac{3x - 130}{5}$

$\rm \implies \: { 5(- 11x + 44)}= {21(3x - 130)}$

$\rm \implies \: { - 55x + 220}= {63x - 2730}$

$\rm \implies \: {2730 + 220}= {63x + 55x}$

$\rm \implies \: 2950= 118x$

$\rm \implies \: \dfrac{2950}{118}= x$

$\rm \implies \: 25 = x$

$\rm \therefore \: x = 25$

Verification:

$\rm \implies \: \dfrac{x + 3}{7} - \dfrac{2x - 5}{3} = \dfrac{3x - 5}{5} - 25$

Substituting the value of x

$\rm \implies \: \dfrac{25 + 3}{7} - \dfrac{2(25) - 5}{3} = \dfrac{3(25) - 5}{5} - 25$

$\rm \implies \: \dfrac{28}{7} - \dfrac{50- 5}{3} = \dfrac{75 - 5}{5} - 25$

$\rm \implies \: 4 - \dfrac{45}{3} = \dfrac{70}{5} - 25$

$\rm \implies \: 4 - 15 = 14 - 25$

$\rm \implies \: - 9 = -9$

Hence, verified!

Answer 2

$\huge【\: \underline{\rm {\boxed{ \red{Answer}}}} \: 】$

Firstly, take L.C.M. of 7 and 3=21 and secondly, the L.C.M. of 5 and 1=5.

So, 3x+9-14x+35/21-3x-130/5.

-11x+44/21-3x-130/5

-55x+220-63x-2730

-55x-63x=-2730-220(- and - cancelled on both sides)

118x=2950

x=2950/118

X=25

• I Hope It's Helpful.