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olchik [2.2K]
3 years ago
9

What is the solution to the system of equations below?

Mathematics
2 answers:
snow_tiger [21]3 years ago
7 0

Answer:

The solution to this system of equations is (x,y) = (-6, 8).

Step-by-step explanation:

Since the number of equations and number of variables is the same, there is only one solution. Let y = -\frac{1}{3}\cdot x + 6 and x = -6, the solution of this system is found by evaluating the first function, that is:

y = -\frac{1}{3}\cdot (-6)+6

y = 2+6

y = 8

The solution to this system of equations is (x,y) = (-6, 8).

snow_tiger [21]3 years ago
6 0

Answer:

(-6,8) is the answer using substitution method.

Step-by-step explanation:

y= (-1/3)(-6)+6

y= 2+6

y=8, x=-6

=(-6,8)

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Step-by-step explanation:

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According to the Alternate Exterior Angles Theorem, "when two lines are cut by a transversal, the resulting alternate exterior angles are congruent."

This means that the two expressions above are to be set equal to each other because they are representative of two alternate exterior angles, which are congruent:

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~

Check your work by substituting 18 for x in the initial equation:

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