To solve for two unknowns (x and y) you need two independent equations.
All that you can do with the above is to express x in terms of y, as follows:
5x + 5y = -7
x + y = -7/5
x = -7/5 -y
Similarly, you could express y in terms of x as: y = -7/5 -x
IF, you had a value for either x or y from some other equation (or other source), you could substitute that value in either of these equations to solve for the other.
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