Identify the terms of the expression and their coefficients
1 answer:
Answer:
Terms: 4x, -
Coefficients: 4,
Step-by-step explanation:
The terms of an expression are the numbers and variables that are being added. In this expression 4x is being added to -. This means that they must be the terms. The coefficients are the constants that come before a variable. A variable is an unknown number represented by a letter, in this case, x. So the coefficients are 4 and
because both these numbers are being multiplied by a variable.
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Answer:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "c" is the y-intercept.
By definition:
1. If the lines of the System of equations are parallel (whrn they have the same slope), the system has No solutions.
2. If the they are the same exact line, the System of equations has Infinite solutions.
(A) Let's solve for "y" from the first equation:
You can notice that:
In order make that the System has No solutions, the slopes must be the same, but the y-intercept must not. Then, the values of "a" and "b" can be:
Substituting those values into the second equation and solving for "y", you get:
You can idenfity that:
Therefore, they are parallel.
(B) In order make that the System has Infinite solutions, the slopes and the y-intercepts of both equations must be the same. Then, the values of "a" and "b" can be:
If you substitute those values into the second equation and then you solve for "y", you get:
You can identify that:
Therefore, they are the same line.