Are these fractions equivalent or nonequivalent?xy/4y x/4
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Two equations will be called independent if their graphs touch only on one point (they have one solution for the x-value and one solution for the y-value), and two equations will be dependent if they touch at every point (there is an infinite number of solutions).
This definition of independent and dependent equations is shown in the following diagram. Consider that there are two lines, one red line and one blue line:
They are independent if they touch only on one point and dependent if they touch at every point (they are the same line).
In our case, we are asked to write an equation in order to create an independent consistent linear system.
Note: Consistent means that the system has a solution.
First, we graph the given equation:
There are many different equations that will form an independent consistent linear system with this equation.
We are going to choose the following line equation:
Because when we graph this equation next to the previous line:
We can see that they touch at one point, thus there is a solution and the system is independent --> we have created an independent consistent linear system.
Answer:
The inequality represents the sentence below is that the p minus 1. 4 greater-than 9.
<h3>What is the inequality equation?</h3>Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
Given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.
Before solving it, first let's discuss the tenth and hundredths,
- Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.
- Hundredths is written as the fractional part of the number 100. The value of one hundredth is equal to 1/100 or 0.01.
Here, the sentence given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.
One and four tenths can be written as,
Nine and seventy-eight hundredths can be written as,
Let suppose the number is <em>p</em>. This difference of this number and one four tenths is more than nine and seventy-eight hundredths. Thus,
Hence, the inequality represents the sentence below is that the p minus 1. 4 greater-than 9.
Learn more about the inequality equation here: