Solution to an equation
I can appreciate that a solution is a value that makes the two sides of an equation balance.
Solution to an equation
I can appreciate that a solution is a value that makes the two sides of an equation balance.
Lesson details
Key learning points
- In an expression the variable can take any value.
- In a linear equation there is a particular value that makes the equation balance.
- The value is the solution to the linear equation.
- When graphing a linear expression this value represents a single point.
Common misconception
When reading solutions from a graph pupils may read the solution as the y-coordinate.
The solution to the equation is the value of the variable that makes both sides balance.
Keywords
Solution - A solution to an equality with one variable is a value which, when substituted, maintains the equality between the expressions.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
Loading...
Starter quiz
6 Questions
A (blue) -
$$x = −1$$
B (pink) -
$$y = x$$
C (purple) -
$$y = −1$$
D (green) -
$$y = 1$$
E (black) -
$$y = −x$$
$$4\times {1\over 2}$$ -
2
$$4\times {3\over 2}$$ -
6
$$4\times {5\over 2}$$ -
10
$$4\times {1\over 4}$$ -
1
$$4\times {3\over 4}$$ -
3
$$4\times {5\over4}$$ -
5
Exit quiz
6 Questions
$$1 − x = 2$$ -
solution when $$x = −1$$
$$1 − x = −4$$ -
solution when $$x = 5$$
$$2x = 2$$ -
solution when $$x = 1$$
$$2x = −4$$ -
solution when $$x = −2$$