Solve the System of Equations 2y-x=0 x=y+7

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

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

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

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

$x = y + 7$

Simplify the left side.

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

Simplify each term.

Apply the distributive property.

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

$x = y + 7$

Multiply $- 1$ by $7$ .

$2 y - y - 7 = 0$

$x = y + 7$

$2 y - y - 7 = 0$

$x = y + 7$

Subtract $y$ from $2 y$ .

$y - 7 = 0$

$x = y + 7$

$y - 7 = 0$

$x = y + 7$

$y - 7 = 0$

$x = y + 7$

$y - 7 = 0$

$x = y + 7$

Add $7$ to both sides of the equation.

$y = 7$

$x = y + 7$

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

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

$x = (7) + 7$

$y = 7$

Simplify the right side.

Add $7$ and $7$ .

$x = 14$

$y = 7$

$x = 14$

$y = 7$

$x = 14$

$y = 7$

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

$(14, 7)$

The result can be shown in multiple forms.

Point Form:

$(14, 7)$

Equation Form:

$x = 14, y = 7$

Solve the System of Equations 2y-x=0 x=y+7

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