6-4 practice elimination using multiplication answers

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04-04-2022
SAT

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6-4 practice elimination using multiplication answers

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jaquelinefvr jaquelinefvr · Answer 1 · 2022-04-12T13:49:46+02:00

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:

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