Algebra Examples

$2 y - x = 0$ $x = y + 7$

Step 1

Replace all occurrences of $x$ with $y + 7$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $2 y - x = 0$ with $y + 7$ .

$2 y - (y + 7) = 0$

$x = y + 7$

Step 1.2

Simplify the left side.

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Step 1.2.1

Simplify $2 y - (y + 7)$ .

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Step 1.2.1.1

Simplify each term.

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Step 1.2.1.1.1

Apply the distributive property.

$2 y - y - 1 \cdot 7 = 0$

$x = y + 7$

Step 1.2.1.1.2

Multiply $- 1$ by $7$ .

$2 y - y - 7 = 0$

$x = y + 7$

$2 y - y - 7 = 0$

$x = y + 7$

Step 1.2.1.2

Subtract $y$ from $2 y$ .

$y - 7 = 0$

$x = y + 7$

$y - 7 = 0$

$x = y + 7$

$y - 7 = 0$

$x = y + 7$

$y - 7 = 0$

$x = y + 7$

Step 2

Add $7$ to both sides of the equation.

$y = 7$

$x = y + 7$

Step 3

Replace all occurrences of $y$ with $7$ in each equation.

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Step 3.1

Replace all occurrences of $y$ in $x = y + 7$ with $7$ .

$x = (7) + 7$

$y = 7$

Step 3.2

Simplify the right side.

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Step 3.2.1

Add $7$ and $7$ .

$x = 14$

$y = 7$

$x = 14$

$y = 7$

$x = 14$

$y = 7$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(14, 7)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(14, 7)$

Equation Form:

$x = 14, y = 7$

Step 6