Question

solve and check pls I will mark you as brainliest​

Answer 1

Answer:

Step-by-step explanation:

2/5z=3/8z+7/20

7/20=2/5z-3/8z

7/20=16-15/40z

7/20=1/40z

z=7/20×40

z=14

Answer 2

☆Given Question :-

$\bf \:\dfrac{2}{5} z = \dfrac{3}{8}z + \dfrac{7}{20}$

$\bf \:\large \red{AηsωeR :} ✍$

$\large \red{\sf \: Given :- }$

$\bf \:\dfrac{2}{5} z = \dfrac{3}{8}z + \dfrac{7}{20}$

$\large \red{\sf \:  To  \: Find :- }$

• ☆The value of z and check the solution

$\begin{gathered}\Large{\bold{\pink{\underline{CaLcUlAtIoN\::}}}} \end{gathered}$

$\bf \:\dfrac{2}{5} z = \dfrac{3}{8}z + \dfrac{7}{20}$

$\bf \:⟼\dfrac{2}{5} z - \dfrac{3}{8}z = \dfrac{7}{20}$

$\bf \:  ⟼ \dfrac{16z - 15z}{40} = \dfrac{7}{20}$

$\bf \:  ⟼ \dfrac{z}{40} = \dfrac{7}{20}$

$\bf \:  ⟼ z = \dfrac{7}{20} \times 14$

$\bf \:  ⟼ z = 14$

$\large{\boxed{\boxed{\bf{Hence, value \: of \: z \: is \: 14}}}}$

____________________________________________

$\boxed{\bold{\large{VERIFICATION :-}}}$

$\large \red{\sf \: ⟼LHS} ✍$

$\bf \:  ⟼ \dfrac{2}{5} z$

☆Put value of z = 14, we get

$\bf \:  ⟼ \dfrac{2}{5} \times 14 = \dfrac{28}{5}$

$\large \red{\sf \: ⟼RHS} ✍$

$\bf \:\dfrac{3}{8}z + \dfrac{7}{20}$

☆Put value of z = 14, we get

$\bf \:  ⟼ \dfrac{3}{8} \times 14 + \dfrac{7}{20}$

$\bf \:  ⟼ \dfrac{21}{4} + \dfrac{7}{20}$

$\bf \:  ⟼ \dfrac{105 + 7}{20}$

$\bf \:  ⟼ \dfrac{112}{20} = \dfrac{28}{5}$

$\bf \:➦ LHS = RHS$

$\bf \:Hence,  \: Verified ✔$