Precalculus Examples

$3 x = - 9 + y$ , $- 3 x + y = - 9$

Step 1

Solve the system of equations.

Tap for more steps...

Step 1.1

Simplify the right side.

Tap for more steps...

Step 1.1.1

Reorder $- 9$ and $y$ .

$3 x = y - 9$

$- 3 x + y = - 9$

$3 x = y - 9$

$- 3 x + y = - 9$

Step 1.2

Subtract $y$ from both sides of the equation.

$3 x - y = - 9, - 3 x + y = - 9$

Step 1.3

Add the two equations together to eliminate $y$ from the system.

Step 1.4

Since $0 \neq - 18$ , there are no solutions.

No solution

Step 2

Since the system has no solution, the equations and graphs are parallel and do not intersect. Thus, the system is inconsistent.

Inconsistent

Step 3