[tex]\displaystyle \frac{1}{5}(m-100)~is~equivalent~to~\frac{1}{5}m-20[/tex]
Further Explanation
One variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:
[tex] \large {\boxed {\bold {ax = b}} [/tex]
or
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex]\large {\boxed {\bold {ax + by = c}}}[/tex]
There are 2 general steps to solving a linear equation of one variable:
- 1. add or subtract both segments with the same number so that it is expected that in one segment there are only variable modifiers or constant numbers
- 2. Change the equation into a simple form so that the coefficient of the variable is 1
This can be done by dividing or multiplying by equal numbers
An equation will remain equivalent if both segments are multiplied or divided by the same number
An equation is said to be equivalent if the same solution is obtained
Looking for algebraic forms that are equivalent to
[tex]\displaystyle \frac{1}{5}m-20[/tex]
We can use the distributive property of multiplication in addition or subtraction in the arithmetic operations of algebraic form
General formula
- a(b+c) = ab + ac
- a(b-c) = ab - ac
From the algebraic form [tex]\displaystyle \frac{1}{5}m-20[/tex] we can state it in the form of multiplication with the same factor which is [tex]\displaystyle \frac{1}{5}[/tex], so that the algebraic form becomes:
[tex]\displaystyle =\frac{1}{5}m-\frac{1}{5}100\\\\=\frac{1}{5}(m-100)[/tex]
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Keywords: one variable, linear equation, distributive nature, algebraic form
