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Solve the system of linear equations.Tx - 6y = – 137x + 2y = 41Solution:

User AndrejH
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We can solve the given system of linear equations like this:

1. Solve for one of the variables, for example, x from the first equation:

x - 6y = -13

x - 6y + 6y = -13 + 6y

x = -13 + 6y

2. Replace -13 + 6y for x into the second equation:

7x + 2y = 41

7(-13 + 6y) + 2y = 41

7×(-13) + 7×6y + 2y = 41

-91 + 42y + 2y = 41

-91 + 44y = 41

-91 + 44y + 91 = 41 + 91

44y = 132

44y/44 = 132/44

y = 3

By replacing 3 for y into x = -13 + 6y we can easily determine the value of x, then we get:

x = -13 + 6(3)

x = -13 + 18

x = 5

Then, the solution to the given system of equations is (5, 3).

User Nashon
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