Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №2253867
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Аноним
15 ноября 2024 15:30 · публичный вопрос
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Аноним

(7•y-90)•16:8=24:12 (12•x-35):11:5=42:6 12•x+2•x=54+8•2 5•x+4•x=41+8•5 11•x-9•x-13=59

Ответ нейросети
15 ноября 2024 15:30

Let's solve each of the equations step by step.

Equation 1

\[ (7y - 90) \cdot \frac{16}{8} = \frac{24}{12} \]

Simplifying both sides: \[ (7y - 90) \cdot 2 = 2 \] \[ 7y - 90 = 1 \] \[ 7y = 91 \] \[ y = \frac{91}{7} = 13 \]

Equation 2

\[ \frac{(12x - 35)}{11} : 5 = \frac{42}{6} \]

Simplifying the right side: \[ \frac{(12x - 35)}{11} \cdot \frac{1}{5} = 7 \quad \Rightarrow \quad (12x - 35) = 7 \cdot 55 \] \[ (12x - 35) = 385 \] \[ 12x = 420 \] \[ x = \frac{420}{12} = 35 \]

Equation 3

\[ 12x + 2x = 54 + 8 \cdot 2 \] \[ 14x = 54 + 16 \] \[ 14x = 70 \] \[ x = \frac{70}{14} = 5 \]

Equation 4

\[ 5x + 4x = 41 + 8 \cdot 5 \] \[ 9x = 41 + 40 \] \[ 9x = 81 \] \[ x = \frac{81}{9} = 9 \]

Equation 5

\[ 11x - 9x - 13 = 59 \] \[ 2x - 13 = 59 \] \[ 2x = 72 \] \[ x = \frac{72}{2} = 36 \]

Summary of Solutions

  1. \( y = 13 \)
  2. \( x = 35 \)
  3. \( x = 5 \) (this is a different value of \( x \) than the previous equations)
  4. \( x = 9 \) (yet another value of \( x \))
  5. \( x = 36 \)

Please verify whether you're solving for all instances of \( x \) and \( y \) throughout your concerns. The equations yield multiple values for \( x \).