Respuesta :

1/2x-10=13

+10 +10

1/2x=23

*2 *2

x=46

Answer:

[tex]\dfrac{1}{2}x-10=-13[/tex]

Step-by-step explanation:

Let x be the unknown number.

Given:

  • Half of a number  →  ¹/₂x
  • Decreased by 10  →  -10
  • Is -13  →  = -13

Therefore, the equation is:

[tex]\boxed{\dfrac{1}{2}x-10=-13}[/tex]

Solving for x

To solve, add 10 to both sides:

[tex]\implies \dfrac{1}{2}x-10+10=-13+10[/tex]

[tex]\implies \dfrac{1}{2}x=-3[/tex]

Multiply both sides by 2:

[tex]\implies 2 \cdot \dfrac{1}{2}x=2 \cdot -3[/tex]

[tex]\implies x=-6[/tex]

ACCESS MORE