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6x - y = -5 (1)
6x + y = -7 (2)
From eq(2), express y = -7 - 6x and substitute it into equation (1). You will get
6x - (-7-6x) = -5,
6x + 6x + 7 = -5
12x = -5 - 7 = -12 ====> x =
= -1.
Now substitute this value of x into eq(2) to get
{{6*(-1) + y}}} = -7, or
-6 + y = -7
y = -7 + 6 = -1.
Answer. The solution is x= -1; y= -1.
Check the solution on your own by substituting the found values into the original equations.
Do it on your own (I just did it mentally).
Solved.
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See the lesson
- Solution of the linear system of two equations in two unknowns by the Substitution method
in this site.