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36 votes
36 votes
2x - y = 76x – 3y = 14

User Luigi Ballabio
by
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1 Answer

23 votes
23 votes

You have the following system of equations:

2x - y = 7

6x - 3y = 14

In order to solve the previous system of equations you can use different methods. Here, you can use susbtitution. You proceed as follow:

solve the first equation for y:

2x - y = 7

-y = 7 - 2x

y = -7 + 2x

Next, this expression for y is replaced in the second equation:

6x - y = 7

6x - (-7 + 2x) =7

6x + 7 + 2x = 7

4x = 0

x = 0

The solution is the trivial solution, hence, the system has INFINITE SOLUTIONS

User RoyalTS
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