Pls help asap ill give brainliest!

can someone solve this equation tell me how many solutions are possible.. and if there is none possible, how come?

4(x-1) = 1/2 (x - 8)

Respuesta :

Answer:

[tex]\boxed{\bold{One \ Solution}}[/tex]

Step By Step Explanation:

  • Solve Equation For Solution(s)

Expand [tex]\bold{4\left(x-1\right): \ 4x-4}[/tex]

Expand [tex]\bold{\frac{1}{2}\left(x-8\right): \ \frac{1}{2}x-4}[/tex]

[tex]\bold{4x-4=\frac{1}{2}x-4}[/tex]

Add 4 To Both Sides

[tex]\bold{4x-4+4=\frac{1}{2}x-4+4}[/tex]

Simplify

[tex]\bold{4x=\frac{1}{2}x}[/tex]

Subtract [tex]\bold{\frac{1}{2}x}[/tex] From Both Sides

[tex]\bold{4x-\frac{1}{2}x=\frac{1}{2}x-\frac{1}{2}x}[/tex]

Simplify

[tex]\bold{\frac{7}{2}x=0}[/tex]

Multiply Both Sides By 2

[tex]\bold{2\cdot \frac{7}{2}x=0\cdot \:2}[/tex]

Simplify

[tex]\bold{7x=0}[/tex]

Divide Both Sides By 7

[tex]\bold{\frac{7x}{7}=\frac{0}{7}}[/tex]

Simplify

[tex]\bold{x=0}[/tex]

  • X = 0, Therefore There Is One Solution

- Mordancy