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Reading your post, I assume that you are a novice in this area.
So, I will show you the simplest method and the simplest way students usually learn this subject.
x - 5y = 20 (1)
2x + y = 14 (2)
From equation (1), express x = 20 + 5y. Then substitute this expression into equation (2), replacing x.
You will get a single equation for "y"
2*(20+5y) + y = 14
40 + 10y + y = 14
11y = 14 - 40
11y = - 26
y = = .
Now substitute this value of y into equation (2) to get
2x + = 14 ====>
2x = 14 + = = =====> x = = .
Answer. x = = ; y = = .
After completing the solution, check on your own that the answer is valid.
For it, substitute the found values of x and y into the original equations.
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The method I used in the solution, is called the Substitution method.
See the lesson
- Solution of the linear system of two equations in two unknowns by the Substitution method
in this site.