Practice question · Sort into groups
Sort each equation by whether it is linear in x and y.
Groups: Linear · Not linear
- x squared + y = 1
- 5x - y = 0
- x + 7 = 2y
- 2x + 3y = 6
- x times y = 4
Hints
- Linear means only additions and constant multiples of the variables.
- Powers of a variable, or products of two variables, break linearity.
Show the answer
Linear: 2x + 3y = 6, 5x - y = 0, x + 7 = 2y
Not linear: x squared + y = 1, x times y = 4
Why
A linear equation uses only constant multiples of the variables and addition. Squaring a variable (e2) or multiplying two variables (e4) is nonlinear. e5 is linear even though it needs rearranging.
Practise Systems of Linear Equations
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