Question

aflati numarul natural x daca fractile 7x+6 pe 5 si 5x+12 pe 4 sunt ecivalente

Answer 1

Răspuns:

(7x+6)/5=(5x+12)/4

4(7x+6)=5(5x+12)

28x+24=25x+60

28x-25x=60-24

3x=36

x=36:3=>x=12

Answer 2

Răspuns: $\color{red}\Large \boxed{\bf x = 12}$

Explicație pas cu pas:

Buna!

$\large \bf \dfrac{7x+6}{5}= \dfrac{5x+12}{4}\implies 4\cdot (7x+6)= 5\cdot (5x+12)\implies$

$\large \bf 28x+24 =25x+60$

$\large \bf 28x-25x+24 =60$

$\large \bf 3x+24 =60$

$\large \bf 3x=60 - 24$

$\large \bf 3x=36~~~\bigg|:3$

$\color{red}\Large \boxed{\bf x = 12}$

==pav38==