Question

answer the following and please do check also​

Answer 1

Answer:

-30/7

Step-by-step explanation:

3x+5/2x+7=5

3x+5=10x+35

-30=7x

-30/7=x

Answer 2

$\huge{\bf{\underline{\pink{Solution :}}}}$

Question -:

$\longrightarrow \boxed{\sf{\dfrac{3x + 5}{2x + 7} = 5}}$

Answer -:

$\implies \sf{\dfrac{3x + 5}{2x + 7} = \dfrac{5}{1}}$

$\implies \sf{1(3x + 5) = 5(2x + 7)}$

║By Cross Multiplication║

$\implies \sf{3x + 5 = 10x + 35}$

$\implies \sf{3x - 10x = 35 - 5}$

$\implies \sf{-7x = 30}$

$\implies \boxed{\sf{x = \dfrac{-30}{7}}}$

$\rule{200}2$

Verification :

$\implies \sf{\dfrac{3x + 5}{2x + 7} = 5}$

$\implies \sf{\dfrac{3(\dfrac{-30}{7} ) + 5}{2(\dfrac{-30}{7}) + 7} = 5}$

$\implies \sf{\dfrac{\dfrac{-90}{7} + 5}{\dfrac{-60}{7} + 7} = 5}$

$\implies \sf{\dfrac{\dfrac{-90 + 35}{7} }{\dfrac{-60 + 44}{7} } = 5}$

$\implies \sf{\dfrac{-90 + 35}{-60 + 49} = 5}$

$\implies \sf{\dfrac{-55}{-11} = 5}$

$\implies \boxed{\sf{5 = 5}}$

Hence Proved