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ki77a [65]
3 years ago
5

Find the X COORDINATE OF THE intersection of 9x - 6y = 12 and 3x + 2y =8

Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

Answer: x=2

Step-by-step explanation:

Given a System of linear equations, the solution of the system is the point (x,y) in which the lines intersect, where "x" is the x-coordinate and "y" is the y-coordinate.

Having the following System of equations:

\left \{ {{9x - 6y = 12} \atop {3x + 2y =8}} \right.

You can use the Elimination method to find the value of "x":

-Multiply the second equation by 3.

- Add the equations.

- Solve for "x".

Then, you get:

\left \{ {{9x - 6y = 12} \atop {9x +6y =24}} \right.\\.......................\\18x=36\\\\x=\frac{36}{18}\\\\x=2

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Let P(F) represents the event that the book is fiction and P(P) represents the event that the book is paperback. We are to find P(F∩P)

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From the tree diagram we can see that:

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Using the values, we get:

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So, option B gives the correct answer
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