Given the following system of equations:3𝑥−2𝑦=73x−2y=7𝑥+𝑦=−1x+y=−1Solve to find the solution to the system.

Question

Given the following system of equations:3𝑥−2𝑦=73x−2y=7𝑥+𝑦=−1x+y=−1Solve to find the solution to the system.
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Solution 1

To solve the system of equations, we can use either substitution or elimination method. Here, we will use the substitution method.

The system of equations is:

  1. 3x - 2y = 7
  2. x + y = -1

First, we can solve the second equation for x:

x = -1 - y

Then, we substitute x in the first equation:

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