Respuesta :

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[tex]y = \frac{1}{2} x + 1 \\ [/tex]

Multiply sides by 2

[tex]2 \times y = 2 \times ( \frac{1}{2} x + 1) \\ [/tex]

[tex]2y =( 2 \times \frac{1}{2} x) + (2 \times 1) \\ [/tex]

[tex]2y = x + 2[/tex]

[tex]x + 2 = 2y[/tex]

Subtract sides 2

[tex]x + 2 - 2 = 2y - 2[/tex]

[tex]x = 2y - 2[/tex]

Done...

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Answer:

The answer is x = 2y - 2

Step-by-step explanation:

Question: y = 1/2x + 1

Given:

equation: y = 1/2x + 1

Unknown:

Equation in x = ?

1. Move the x variable to the side that the y is on.

y = 1/2x + 1

-1/2x -1/2x

2. Move the y to the side of the y-intercept

y - 1/2x = 1

-y - y

3. Divide both sides by -1/2 or multiply by -2

-1/2x = -y + 1

*-2 -2(-y + 1)

The answer is x = 2y - 2

Hope it helped,

Kavitha Banarjee