Trigonometry Examples

$3 x + y = 7$

Step 1

Subtract $3 x$ from both sides of the equation.

$y = 7 - 3 x$

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.

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Step 3.1

Remove parentheses.

$y = 7 - 3 \cdot 0$

Step 3.2

Simplify $7 - 3 \cdot 0$ .

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Step 3.2.1

Multiply $- 3$ by $0$ .

$y = 7 + 0$

Step 3.2.2

Add $7$ and $0$ .

$y = 7$

Step 3.3

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

$(0, 7)$

Step 4

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

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Step 4.1

Remove parentheses.

$y = 7 - 3 \cdot 1$

Step 4.2

Simplify $7 - 3 \cdot 1$ .

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Step 4.2.1

Multiply $- 3$ by $1$ .

$y = 7 - 3$

Step 4.2.2

Subtract $3$ from $7$ .

$y = 4$

Step 4.3

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

$(1, 4)$

Step 5

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

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Step 5.1

Remove parentheses.

$y = 7 - 3 \cdot 2$

Step 5.2

Simplify $7 - 3 \cdot 2$ .

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Step 5.2.1

Multiply $- 3$ by $2$ .

$y = 7 - 6$

Step 5.2.2

Subtract $6$ from $7$ .

$y = 1$

Step 5.3

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

$(2, 1)$

Step 6

These are three possible solutions to the equation.

$(0, 7), (1, 4), (2, 1)$

Step 7