Find Three Ordered Pair Solutions x+1/2y=1

$x + \frac{1}{2} y = 1$

Step 1

Solve the equation for $y$ .

Combine $\frac{1}{2}$ and $y$ .

$x + \frac{y}{2} = 1$

Subtract $x$ from both sides of the equation.

$\frac{y}{2} = 1 - x$

Multiply both sides of the equation by $2$ .

$2 \frac{y}{2} = 2 (1 - x)$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{y}{2} = 2 (1 - x)$

Rewrite the expression.

$y = 2 (1 - x)$

Simplify the right side.

Simplify $2 (1 - x)$ .

Apply the distributive property.

$y = 2 \cdot 1 + 2 (- x)$

Multiply.

Multiply $2$ by $1$ .

$y = 2 + 2 (- x)$

Multiply $- 1$ by $2$ .

$y = 2 - 2 x$

Reorder $2$ and $- 2 x$ .

$y = - 2 x + 2$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = - 2 \cdot 0 + 2$

Simplify $- 2 \cdot 0 + 2$ .

Multiply $- 2$ by $0$ .

$y = 0 + 2$

Add $0$ and $2$ .

$y = 2$

Use the $x$ and $y$ values to form the ordered pair.

$(0, 2)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = - 2 \cdot 1 + 2$

Simplify $- 2 \cdot 1 + 2$ .

Multiply $- 2$ by $1$ .

$y = - 2 + 2$

Add $- 2$ and $2$ .

$y = 0$

Use the $x$ and $y$ values to form the ordered pair.

$(1, 0)$

Step 5

Choose $2$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = - 2 \cdot 2 + 2$

Simplify $- 2 \cdot 2 + 2$ .

Multiply $- 2$ by $2$ .

$y = - 4 + 2$

Add $- 4$ and $2$ .

$y = - 2$

Use the $x$ and $y$ values to form the ordered pair.

$(2, - 2)$

Step 6

These are three possible solutions to the equation.

$(0, 2), (1, 0), (2, - 2)$

Step 7

Find Three Ordered Pair Solutions x+1/2y=1

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