Question

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Answer 1

Answer:

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Step-by-step explanation:

15/4 -7x = 9

On rearranging the terms we get,

7x – 15/4 = 9

Taking 15/4 into RHS and solving we get,

7x = 15-36/4

7x = -21/4

x = -21/4*1/7

= -3/4

Therefore the answer of x = -3/4

Answer 2

★ Solution ★

• $\bf{(i) \: \: 7x + \dfrac{15}{4} = 9}$

➺ $\sf{7x + \dfrac{15}{4} = 9}$

➺ $\sf{7x = 9 - \dfrac{15}{4} }$

➺ $\sf{7x = \dfrac{36 - 15}{4} }$

➺ $\sf{7x = \dfrac{21}{4} }$

➺ $\sf{x = \dfrac{21}{4} × \dfrac{1}{7} }$

➺ $\sf{x = \dfrac{3}{4} }$

Hence, x = 3/4.

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★ Verification ★

$\sf{ \leadsto \: 7x + \dfrac{15}{4} = 9}$

Substituting x = 3/4, we get

$\sf{ \leadsto \: 7 × \dfrac{3}{4} + \dfrac{15}{4} = 9}$

$\sf{ \leadsto \: \dfrac{21}{4} + \dfrac{15}{4} = 9}$

$\sf{ \leadsto \: \dfrac{21 + 15}{4} = 9}$

$\sf{ \leadsto \: \dfrac{36}{4} = 9}$

$\sf{ \leadsto \; 9 = 9}$

$\mathfrak{Hence, \: verified. \: \checkmark }$