Solve by Substitution x-3y=-1 x=y

$x - 3 y = - 1$ $x = y$

Step 1

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

Replace all occurrences of $x$ in $x - 3 y = - 1$ with $y$ .

$(y) - 3 y = - 1$

$x = y$

Simplify the left side.

Subtract $3 y$ from $y$ .

$- 2 y = - 1$

$x = y$

$- 2 y = - 1$

$x = y$

$- 2 y = - 1$

$x = y$

Step 2

Divide each term in $- 2 y = - 1$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 1$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 1}{- 2}$

$x = y$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 1}{- 2}$

$x = y$

Divide $y$ by $1$ .

$y = \frac{- 1}{- 2}$

$x = y$

$y = \frac{- 1}{- 2}$

$x = y$

$y = \frac{- 1}{- 2}$

$x = y$

Simplify the right side.

Dividing two negative values results in a positive value.

$y = \frac{1}{2}$

$x = y$

$y = \frac{1}{2}$

$x = y$

$y = \frac{1}{2}$

$x = y$

Step 3

Replace all occurrences of $y$ with $\frac{1}{2}$ in each equation.

Replace all occurrences of $y$ in $x = y$ with $\frac{1}{2}$ .

$x = \frac{1}{2}$

$y = \frac{1}{2}$

Simplify the left side.

Remove parentheses.

$x = \frac{1}{2}$

$y = \frac{1}{2}$

$x = \frac{1}{2}$

$y = \frac{1}{2}$

$x = \frac{1}{2}$

$y = \frac{1}{2}$

Step 4

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

$(\frac{1}{2}, \frac{1}{2})$

Step 5

The result can be shown in multiple forms.

Point Form:

$(\frac{1}{2}, \frac{1}{2})$

Equation Form:

$x = \frac{1}{2}, y = \frac{1}{2}$

Step 6

Solve by Substitution x-3y=-1 x=y

Related Questions

Support LCMGCF.com by disabling your adblocker.