Satisfy

Satisfy

To show that substituting one or more variables into an equation or inequality "works out". That is, the equation or inequality simplifies to a true statement.

Example showing x=5 satisfies 4x−12=8 by substituting: 4(5)−12=8 simplifies to 8=8, a true statement.

Example 2 showing x=5 satisfies 4x>8: substituting gives 4(5)=20>8, a true statement.

Example 3 showing that (2,-5) satisfies y²/21 - x²/21 = 1 by substituting x=2, y=-5, simplifying to 21/21=1.

See also

Verify a solution