Determine if Dependent, Independent, or Inconsistent 9x-3y=18 , 3x=y+6

Math
,
Solve the system of equations.
Tap for more steps…
Subtract from both sides of the equation.
Multiply each equation by the value that makes the coefficients of opposite.
Simplify.
Tap for more steps…
Simplify .
Tap for more steps…
Apply the distributive property.
Multiply.
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Add the two equations together to eliminate from the system.
Since , the equations intersect at an infinite number of points.
Infinite number of solutions
Solve one of the equations for .
Tap for more steps…
Subtract from both sides of the equation.
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Simplify each term.
Tap for more steps…
Divide by .
Cancel the common factor of and .
Tap for more steps…
Factor out of .
Cancel the common factors.
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
The solution is the set of ordered pairs that make true.
Since the system is always true, the equations are equal and the graphs are the same line. Thus, the system is dependent.
Dependent
Determine if Dependent, Independent, or Inconsistent 9x-3y=18 , 3x=y+6

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top