Solving linear equations form a basis for all the solving techniques that are used to solve algebraic equations.
Slope Intercept Form of an Equation
Here is the slope-intercept form of an equation:
Parts of a Linear Equation
Y = a total
m= slope = rate (per, each)
X = number of something
B = y-intercept, the starting point (fee)
Slope and Y Intercept
A slope is a number that describes the direction and steepness of a line graph. It is expressed as a ratio or rate.
The Y-intercept is the point where a graph on the coordinate plane intersects the y-axis. It the starting value before the situation is affected by a rate.
Steps for Solving an Equation
The goal when solving any equation is to **Isolate the variable** This is done by following the steps that follow:
- Distributive Property- remove the parenthesis from the equation
- Combine Like Terms – simplify the equation
- Inverse operations (add and subtract integers)- get all the rational numbers on one side of the equal sign.
- Inverse operations (multiply and divide coefficients)- finalize finding the solution to the variable by separating the coefficients
Special Linear Equations
Some linear equations serve special purposes
Infinitely Many solutions (all solutions for X is true) – Any value for X makes the equation true.
No solutions – There is no value of X that makes the equation true.
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