Respuesta :

Answer:

  • C) x + 6.5 = 6.3

Step-by-step explanation:

Solve each equation and compare solutions.

  • A) -1.8 + x = -1.6    ⇒  x = 1.8 - 1.6           ⇒  x = 0.2
  • B) 7.5 x = 1.5         ⇒  x = 1.5/7.5            ⇒  x = 0.2
  • C) x + 6.5 = 6.3     ⇒  x = 6.3 - 6.5         ⇒  x = - 0.2, this is different
  • D) x/5 = 0.04        ⇒  x = 0.04*5            ⇒  x = 0.2

Answer:

x + 6.5 = 6.3

Step-by-step explanation:

Solve each equation for x:

[tex]\begin{aligned}\textsf{Equation 1}: \quad \quad \quad -1.8+x&=-1.6\\-1.8+x+1.8&=-1.6+1.8\\x&=0.2\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Equation 2}: \quad\quad \quad\quad \quad 7.5x&=1.5\\7.5x \div 7.5&=1.5 \div 7.5\\x&=0.2\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Equation 3}: \quad \quad \quad \quad x+6.5&=6.3\\x+6.5-6.5&=6.3-6.5\\x&=-0.2\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Equation 4}: \quad \quad \quad\quad \quad \quad\dfrac{x}{5}&=0.04\\\dfrac{x}{5} \cdot 5&=0.04\cdot 5\\x&=0.2\end{aligned}[/tex]

The solution for equations 1, 2 and 4 is x = 0.2.

The solution for equation 3 is x = -0.2.

Therefore, all of the equations have the same solution except:

  • x + 6.5 = 6.3