X - 15 = 18 What is the value of x?
2 answers:
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Answer:
6 hours
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
Let
x ----> the hours a soccer team practiced after the season started
y ----> the total practice time for the year in hours
we know that
The y-intercept of a linear equation is the value of x when the value of y is equal to zero
In the context of this problem, the y-intercept is the total practice time before the season began (the value of x is equal to zero)
Looking at the graph
The y-intercept is the point (0,6)
therefore
the total practice time before the season began is 6 hours
No, we do not multiply the first equation by 2 and then add it to the second equation. We have to multiply the first equation by 4.
To illustrate this point, consider system A:
If we multiply the first equation by 2, we get
Now, if we replace the second equation with the sum of the second equation and , we get
which simplifies to
This is not an equivalent system to System B. We can see that we ended up with a 2y = 4 equation.
In order to end up with a 2x = 10 second equation, we have to multiply the first equation of system A by 4 to get
If we replace the second equation with the sum of the second equation and , we get
which simplifies to
Otherwise, you are correct. The solution to system B is the solution to system A. Adding an equation to another does not change the system.