Secres What value of x is in the solution set of 4x – 12 s 16 + 8x?
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Ответ:

leomessifanboy678

07.12.2022

Mathematics

I'll choose 'x' variable first to eliminate because -

-3 (coefficient of 'x' in Eqn.1) & 3 (coefficient of 'x' in Eqn.2) are additive inverses of each other , so they can be easily eliminated by simply adding those equations. It can be also solved by using elimination method but you'll need to multiply -1 with either Eqn.1 or Eqn.2 because in elimination method , a variable can be eliminated only when their coefficients are numerically equal (along with their sign).

Step-by-step explanation:

Eqn.1 → -3x - 8y = -24

Eqn.2 → 3x - 5y = 45

If we'll add both the equations , then '3x' would be getting cancelled first.

⇒ (-3x - 8y) + (3x - 5y) = (-24) + (45)

⇒ 3x - 3x - 8y - 5y = 45 - 24

⇒ -13y = 21

⇒ $y = \frac{-21}{13}$

Putting the value of y in eqn.2 ,

⇒ $3x - 5(\frac{-21}{13}) = 45$

⇒ $3x + \frac{105}{13} = 45$

⇒ $3x = 45 - \frac{105}{13}$

⇒ $3x = \frac{585 - 105}{13} = \frac{480}{13}$

⇒ $x = \frac{480}{13 \times 3} = \frac{480}{39}$

Reducing the fraction gives ,

⇒ $x = \frac{160}{13}$

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Secres What value of x is in the solution set of 4x – 12 s 16 + 8x? 0 -10 0-9 O-8 O-7