Find Three Ordered Pair Solutions 2x+5y-3=0

$2 x + 5 y - 3 = 0$

Step 1

Solve the equation for $y$ .

Move all terms not containing $y$ to the right side of the equation.

Subtract $2 x$ from both sides of the equation.

$5 y - 3 = - 2 x$

Add $3$ to both sides of the equation.

$5 y = - 2 x + 3$

Divide each term in $5 y = - 2 x + 3$ by $5$ and simplify.

Divide each term in $5 y = - 2 x + 3$ by $5$ .

$\frac{5 y}{5} = \frac{- 2 x}{5} + \frac{3}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 2 x}{5} + \frac{3}{5}$

Divide $y$ by $1$ .

$y = \frac{- 2 x}{5} + \frac{3}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{2 x}{5} + \frac{3}{5}$

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.

$y = - \frac{2 (0)}{5} + \frac{3}{5}$

Simplify $- \frac{2 (0)}{5} + \frac{3}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{- 2 \cdot 0 + 3}{5}$

Simplify the expression.

Multiply $- 2$ by $0$ .

$y = \frac{0 + 3}{5}$

Add $0$ and $3$ .

$y = \frac{3}{5}$

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

$(0, \frac{3}{5})$

Step 4

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

Remove parentheses.

$y = - \frac{2 (1)}{5} + \frac{3}{5}$

Simplify $- \frac{2 (1)}{5} + \frac{3}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{- 2 \cdot 1 + 3}{5}$

Simplify the expression.

Multiply $- 2$ by $1$ .

$y = \frac{- 2 + 3}{5}$

Add $- 2$ and $3$ .

$y = \frac{1}{5}$

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

$(1, \frac{1}{5})$

Step 5

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

Remove parentheses.

$y = - \frac{2 (2)}{5} + \frac{3}{5}$

Simplify $- \frac{2 (2)}{5} + \frac{3}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{- 2 \cdot 2 + 3}{5}$

Simplify the expression.

Multiply $- 2$ by $2$ .

$y = \frac{- 4 + 3}{5}$

Add $- 4$ and $3$ .

$y = \frac{- 1}{5}$

Move the negative in front of the fraction.

$y = - \frac{1}{5}$

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

$(2, - \frac{1}{5})$

Step 6

These are three possible solutions to the equation.

$(0, \frac{3}{5}), (1, \frac{1}{5}), (2, - \frac{1}{5})$

Step 7

Find Three Ordered Pair Solutions 2x+5y-3=0

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