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2 years ago

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What is the solution to the equation below?

2 answers:

frez [133]2 years ago

5 0

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$\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}$

What is the solution to the equation below?

y+4.73=8.0

$\blue{\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}$

To solve it, simply subtract 4.73 from both sides:-

y=3.27 (Option D)

<h3>Good luck.</h3>

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Alekssandra [29.7K]2 years ago

3 0

Answer :

It is D because you have to subtract 4.73 from both sides in order to isolate the y by itself and get the answer which is 3.27

Step-by-step explanation:

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Sofian's current age is (2x + 3) times Mastura's age. Given that Mastura's current age is (x + 5) years and 6 years ago, the sum

Sliva [168]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

★ Sofian's current age is (2x + 3) times Mastura's age.

★ Mastura's current age is (x + 5) years

★ 6 years ago, the sum of their ages is 44 years.

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

★ The value of x.

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

<u>According to the question,</u>

Present age of Mastura = (x + 5) years

Present age of Sofian = (2x + 3) (x + 5) years, i.e :

$\longrightarrow \tt (2x + 3) (x + 5)$

$\longrightarrow \tt 2 {x}^{2} + 10x + 3x + 15$

$\longrightarrow \tt 2 {x}^{2} + 13x + 15 \: years$

Now,

Mastura's age 6 years ago = (x + 5) - 6

=> x + 5 - 6

=> x - 1

Sofian's age 6 years ago = 2x² + 13x + 15 - 6

= 2x² + 13x + 9

<u>Usin</u><u>g</u><u> </u><u>the</u><u> </u><u>condi</u><u>tion</u><u> </u><u>provided</u><u> </u><u>by</u><u> </u><u>the</u><u> </u><u>question</u><u>,</u><u> </u>

Mastura's age 6 years ago + Sofian's age 6 years ago = 44

$\longrightarrow \tt (x - 1) + (2 {x}^{2} + 13x + 9) = 44$

$\longrightarrow \tt x - 1 + 2 {x}^{2} + 13x + 9 = 44$

$\longrightarrow \tt 2 {x}^{2} + 14x + 8 = 44$

$\longrightarrow \tt 2 {x}^{2} + 14x + 8 - 44 = 0$

$\longrightarrow \tt 2 {x}^{2} + 14x - 36= 0$

• <u>Takin</u><u>g</u><u> </u><u>"</u><u>2</u><u>"</u><u> </u><u>commo</u><u>n</u><u>.</u>

$\longrightarrow \tt 2 ({x}^{2} + 7x - 18) = 0$

$\longrightarrow \tt {x}^{2} + 7x - 18 = \dfrac{0}{2}$

$\longrightarrow \tt {x}^{2} + 7x - 18= 0$

• <u>Usin</u><u>g</u><u> </u><u>splitting</u><u> </u><u>the </u><u>midd</u><u>le</u><u> </u><u>term</u>

$\longrightarrow \tt {x}^{2} + 9x - 2x - 18 = 0$

$\longrightarrow \tt x(x + 9) - 2(x + 9) = 0$

$\longrightarrow \tt (x + 9) (x - 2) = 0$

either $\tt (x + 9) = 0 \: \: or \: \: (x - 2) = 0$

$\longrightarrow \tt x = - 9 \: \: or \: \: x = 2$

[As the age cannot be negative. So x = - 9 is rejected]

$\therefore \tt \: x = \red{ 2}$

${\large{\textsf{\textbf{\underline{\underline{Verification :}}}}}}$

<u>According to the condition provided by the question, </u>

• Mastura's age 6 years ago + Sofian's age 6 years ago = 44

$\longrightarrow \tt x - 1 + 2 {x}^{2} + 13x + 9 = 44$

<u>Putti</u><u>ng</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>we</u><u> </u><u>get</u><u>,</u>

$\longrightarrow \tt 2 - 1 + 2( {2})^{2} + 13(2) + 9 = 44$

$\longrightarrow \tt 1 + 2 \times 4 + 26+ 9 = 44$

$\longrightarrow \tt 1 + 8 + 26+ 9 = 44$

$\longrightarrow \tt 9 + 26+ 9 = 44$

$\longrightarrow \tt 18 + 26 = 44$

$\longrightarrow \tt 44 = 44$

<u>Henc</u><u>e</u><u> verified</u><u>.</u>

$\begin{gathered} {\underline{\rule{290pt}{3pt}}} \end{gathered}$

Hope it helps you! :))

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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