Question

If a = 7b – 4 , then b =
(A) a / 7
(B) 4a/ 7
(C) ( a + 4) / 7
(D) (4a +4) / 7
(E) (7a – 4) /7

Answer 1

$\huge {\pink{\mathfrak{Solution:}}}$

$\underline{\bold{Given:}}$

If a = 7b – 4 , then b =?

• (A)$\bf {\frac {a }{7}}$
• (B) )$\bf{\frac{4a}{7}}$
• (C) $\bf {\frac{a + 4} {7}}$
• (D)$\bf {\frac{4a +4}{7}}$
• (E)$\bf{\frac{7a-4}{7}}$

$\underline{\bold{To\:Find:}}$

• The value of b.

$\implies a = 7b - 4 \\ \\ \implies a + 4= 7b \\ \\ \implies \frac{a + 4}{7} = b \\ \\ \implies b = \frac{a + 4}{7}$

$\green {\therefore{The\:value\: of\: b \:is\:(c)\:\frac{a + 4}{7}.}}$

Answer 2

Answer:

★ $\large{\sf {\frac{a+4}{7}}}$ ★

Step-by-step explanation:

Given:

• a = 7b – 4

To Find:

• b = ?

According to the question:

→ a = 7b – 4

→ a + 4 = 7b

→ $\</strong><strong>h</strong><strong>u</strong><strong>g</strong><strong>e</strong><strong>{\sf {\frac{</strong><strong>a</strong><strong>+</strong><strong>4</strong><strong>}{</strong><strong>7</strong><strong>}}}$ = b

Hence, Option C is correct