contestada

What is the value of x when solving the equation 2x+1=-x+4 using the algebra tiles?

Respuesta :

For this case we must solve the following equation:

[tex]2x + 1 = -x + 4[/tex]

We add "x" to both sides of the equation:

[tex]2x + x + 1 = -x + x + 4[/tex]

We add similar terms:

[tex]3x + 1 = 4[/tex]

We subtract "1" on both sides of the equation:

[tex]3x-1 + 1 = 4-1\\3x = 4-1\\3x = 3[/tex]

We divide between 3 on both sides of the equation:

[tex]\frac {3x} {3} = \frac {3} {3}\\x = 1[/tex]

Answer:

[tex]x = 1[/tex]