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hodyreva [135]
3 years ago
14

Help please i dont understand

Mathematics
1 answer:
kirza4 [7]3 years ago
5 0
Vertical angles ate those that ate directly across from each other and share the same vertex. An example of this would be angles 5 and 7. These types of angles are also congruent, so angles 5 and 7 could be your congruent pair or another set of vertical angles like 1 and 3. A linear pair is two angles that together are a line. Basically, they are next ro each other (divided only by another vector) and are supplementary, adding up to 180 degrees. An example of this in the image is angles 1 and 2.
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A system of equations is shown below: x + 3y = 5 (equation 1) 7x − 8y = 6 (equation 2) A student wants to prove that if equation
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First Let we solve the Original system of equations:

equation (1): x+3y=5

equation (2): 7x-8y=6

Multiplying equation (1) by 7, we get

7x+21y=35                          -->(3)

7x-8y=6                           --> (2)

Subtracting,

29y=29 implies y=1

Thenx=5-3(1)=2

Thus the solution of the original equation isx=2, y=1.

Now Let we form the new equation:

Equation 2 is kept unchanged:

Equation (2):7x-8y=6

Equation 1 is replaced with the sum of equation 1 and a multiple of equation 2:

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Now solve this two equations: 8x-5y=11, \\                                                    7x-8y=6

Multiply (1) by 7 and (2) by 8,

56x-35y=77

56x-64y=48

Subtracting,29y=29 implies y=1

Then x=2.

so the solution for the new system of equation is x=2, y=1.

This Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations

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