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6-4 practice elimination using multiplication answers

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jaquelinefvr

Multiplication as a method of elimination is used to eliminate an unknown in a system of equations by multiplying one of the equations by a constant.

What is the Gauss method?

It is the method of eliminating unknowns that transforms a linear system into a triangular system, so that it is possible to solve the problem with retroactive resolution. Like for example:

  • 2x+3y=14
  • 3x-4y=4

A) The first step is to solve equation 2 to find the variable x.

  • 3x=4y+4
  • x=4y/3+4/3

B) The second step is to include the variable x found in equation 1.

2x(4y/3+4/3)+3y=14

17y/3=34/3

17y=34

C) The third step is to solve equation 1 to find the variable y.

  • 17y=34
  • y=2

D)Now that we've found the value of y, we can solve equation 1 to find the value of x.

  • x=4/3x(2)+4/3=4

Therefore, if the value of x is 4 and the value of y is 2, the solution of this exercise, using the Gauss method is (4;2).

Find out more about Gauss method here:

https://brainly.com/question/17328473

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