Algebra Examples

$- 6 x + y = 35$

Step 1

Add $6 x$ to both sides of the equation.

$y = 35 + 6 x$

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.

$y = 35 + 6 (0)$

Step 3.2

Simplify $35 + 6 (0)$ .

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Step 3.2.1

Multiply $6$ by $0$ .

$y = 35 + 0$

Step 3.2.2

Add $35$ and $0$ .

$y = 35$

Step 3.3

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

$(0, 35)$

Step 4

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

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Step 4.1

Remove parentheses.

$y = 35 + 6 (1)$

Step 4.2

Simplify $35 + 6 (1)$ .

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Step 4.2.1

Multiply $6$ by $1$ .

$y = 35 + 6$

Step 4.2.2

Add $35$ and $6$ .

$y = 41$

Step 4.3

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

$(1, 41)$

Step 5

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

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Step 5.1

Remove parentheses.

$y = 35 + 6 (2)$

Step 5.2

Simplify $35 + 6 (2)$ .

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Step 5.2.1

Multiply $6$ by $2$ .

$y = 35 + 12$

Step 5.2.2

Add $35$ and $12$ .

$y = 47$

Step 5.3

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

$(2, 47)$

Step 6

These are three possible solutions to the equation.

$(0, 35), (1, 41), (2, 47)$

Step 7