Question

solve the equation:
plss ​

Answer 1

$\bf \large \underline{Given:}\\\\\bullet \sf{\dfrac{x+7}{3x+16}=\dfrac{4}{7}}\\\\\\\\\bf \large \underline {To \: find:}\\\\\bullet \sf{Value \: of \: x}\\\\\\\\\bf \large \underline{Method:}\\\\On \: Cross \: Multiplication ;\\\\\sf{7(x + 7) = 4(3x + 16)}\\\\\leadsto \sf{7x + 49 = 12x + 64}\\\\\longrightarrow \sf{7x - 12x = 64 - 49}\\\\\implies \sf{-5x=15}\\\\\\\implies \sf{x = \dfrac{15}{-5}}\\\\\\\implies \boxed {\boxed{\sf{x = -3}}}$

Additional Information:

• When 2 fractions are equal, we can find the value of x by cross multiplication as done in this question

Answer 2

Answer:

$\huge\rm\color{blue}{Solution:-}$

→ 7 ( x + 7) = 4 ( 3x + 16)

Use the distributive property to multiply 7 by x + 7

→ 7x + 49 = 4 ( 3x + 16)

Use the distributive property to multiply 4 by 3x + 16

→ 7x + 49 = 12x + 64

Subtract 12x from both the sides

→ 7x + 49 - 12 = 64

Combine 7x and and -12x to get - 5x

→ -5x + 49 = 64

Subtract 49 from both the sides

→ -5x = 64 - 49

Subtract 49 from 64 to get 15

→ -5 = 15

Divide both sides by -5

→ x = 15/-5

Divide 15 by -5 to get -3

→ x = -3

So, the required answer is

$\rm{\fbox{ = \: - 3}}$