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Solving Linear Equations

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by

Juan Monroy

on 21 February 2014

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Transcript of Solving Linear Equations




Example: 2x 2 is the coefficient of x, which means x will always be multiplied by two and that makes it consecutive.

2(
1
)=
2
2(
1.5
)=
3
2(
2
)=
4
2(
2.5
)=
5
etc.
If you see, the red numbers are all consecutive. the numbers in parenthesis are equal to x.
What are Linear Relationships

Linear Relationships are represented by a straight line on a graph. It always has to be straight, which makes it consecutive. Linear relationships can also be identified as
Linear Functions
. In an equation, the number multiplied by x is the coefficient of x, which means x is multiplied by what ever the coefficient is.
Solving Linear equations
Juan P. Monroy
What is Rate?
Rate is a constant increase or decrease of x and y. Do you remember the red numbers I showed you in the last slide? Those numbers are consecutive. They represent y, so the rate of y is an increase of 1. Now, x has a different rate. The numbers in the parenthesis that are yellow are x. Their rate is an increase by 0.5. That is rate.
Solving
Now that we know the basics, we can begin to learn how to actually solve a linear equation. We know that a linear relationship is represented by a straight line on a graph and is always constant. We also know that rate is a constant increase or decrease. Let's solve!



3(x+2)=21 3(x+2)=27 3(x+2)=33
Solve for x, then find the rate.
X increases by 2 and y increases by 7!
In the first equation, x was 5 and increased by 2. The first answer in the first equation was 21, y, which increased by 7.


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