Which statements are true when using algebra tiles to solve the equation 8x + (–4) = 11x + 5?
Check all that apply.
Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side.
Add 11 positive x-tiles to both sides of the equation to create a zero pair on the right side.
Add 4 positive unit tiles to both sides of the equation to create a zero pair on the right side.
Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side.
Divide both groups by 3.
The solution is x = 3.

Respuesta :

frika

Answer:

See explanation

Step-by-step explanation:

You are given the equation [tex]8x+(-4)=11x+5[/tex]

1. Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side. The equation then will have form

[tex]8x+(-4)+(-8x)=11x+5+(-8x)\\ \\-4=3x+5[/tex]

2. Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side. The equation now is

[tex]-4+(-5)=3x+5+(-5)\\ \\-9=3x[/tex]

3. Divide both sides by 3:

[tex]\dfrac{3x}{3}=\dfrac{-9}{3}\\ \\x=-3[/tex]

Answer:

1. Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side.

4. Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side.

5. Divide both groups by 3.

Step-by-step explanation:

Got it right on Edg 2020. Hope it helps!