Solve the System of Equations y=-1/3x+1 x=-6

$y = - \frac{1}{3} x + 1$ $x = - 6$

Step 1

Replace all occurrences of $x$ with $- 6$ in each equation.

Replace all occurrences of $x$ in $y = - \frac{1}{3} x + 1$ with $- 6$ .

$y = - \frac{1}{3} \cdot - 6 + 1$

$x = - 6$

Simplify the right side.

Simplify $- \frac{1}{3} \cdot - 6 + 1$ .

Simplify each term.

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$y = \frac{- 1}{3} \cdot - 6 + 1$

$x = - 6$

Factor $3$ out of $- 6$ .

$y = \frac{- 1}{3} \cdot (3 (- 2)) + 1$

$x = - 6$

Cancel the common factor.

$y = \frac{- 1}{3} \cdot (3 \cdot - 2) + 1$

$x = - 6$

Rewrite the expression.

$y = - 1 \cdot - 2 + 1$

$x = - 6$

$y = - 1 \cdot - 2 + 1$

$x = - 6$

Multiply $- 1$ by $- 2$ .

$y = 2 + 1$

$x = - 6$

$y = 2 + 1$

$x = - 6$

Add $2$ and $1$ .

$y = 3$

$x = - 6$

$y = 3$

$x = - 6$

$y = 3$

$x = - 6$

$y = 3$

$x = - 6$

Step 2

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

$(- 6, 3)$

Step 3

The result can be shown in multiple forms.

Point Form:

$(- 6, 3)$

Equation Form:

$x = - 6, y = 3$

Step 4

Solve the System of Equations y=-1/3x+1 x=-6

Related Questions

Support LCMGCF.com by disabling your adblocker.