No solution equations
Master no solution equations in Grade 9 math — Explanation This is an equation that’s impossible to solve! Part of Functions and Graphing for Grade 9.
Key Concepts
Property If no value of the variable makes an equation true, then the equation has no solution.
Examples $7x 2 = 7x 5$ simplifies to $ 2 = 5$. This is never true, so there is no solution. $3(x + 4) = 3x + 10$ simplifies to $3x + 12 = 3x + 10$, which becomes $12 = 10$. Impossible! No solution.
Explanation This is an equation that’s impossible to solve! No matter what number you try, it won't work. After you simplify, the variables disappear, leaving a false statement like $ 2 = 5$. The equation is telling you, 'Nope, not happening!' There's just no answer that can make the equation true.
Common Questions
What is 'No solution equations' in Grade 9 math?
Explanation This is an equation that’s impossible to solve! No matter what number you try, it won't work.
How do you solve problems involving 'No solution equations'?
No matter what number you try, it won't work. After you simplify, the variables disappear, leaving a false statement like $-2 = -5$.
Why is 'No solution equations' an important Grade 9 math skill?
It correctly tells you there is no solution.. Don't confuse this with an answer of $x=0$, which is a valid solution!.