Solve by Substitution x=y , x-3y=4

$x = y$ , $x - 3 y = 4$

Step 1

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

Replace all occurrences of $x$ in $x - 3 y = 4$ with $y$ .

$(y) - 3 y = 4$

$x = y$

Simplify the left side.

Subtract $3 y$ from $y$ .

$- 2 y = 4$

$x = y$

$- 2 y = 4$

$x = y$

$- 2 y = 4$

$x = y$

Step 2

Divide each term in $- 2 y = 4$ by $- 2$ and simplify.

Divide each term in $- 2 y = 4$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{4}{- 2}$

$x = y$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{4}{- 2}$

$x = y$

Divide $y$ by $1$ .

$y = \frac{4}{- 2}$

$x = y$

$y = \frac{4}{- 2}$

$x = y$

$y = \frac{4}{- 2}$

$x = y$

Simplify the right side.

Divide $4$ by $- 2$ .

$y = - 2$

$x = y$

$y = - 2$

$x = y$

$y = - 2$

$x = y$

Step 3

Replace all occurrences of $y$ with $- 2$ in each equation.

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

$x = - 2$

$y = - 2$

Simplify the left side.

Remove parentheses.

$x = - 2$

$y = - 2$

$x = - 2$

$y = - 2$

$x = - 2$

$y = - 2$

Step 4

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

$(- 2, - 2)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 2, - 2)$

Equation Form:

$x = - 2, y = - 2$

Step 6

Solve by Substitution x=y , x-3y=4

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