Question 1208770
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They want you solve this system of two equations in two unknowns

    y = -x + 7

    y =  x + 1.


Add these equations (side by side).  You will get

    2y = 7 + 1

    2y = 8

     y = 8/2 = 4.


Now substitute this found value y= 4 into the second given equation.  You will get

    4 = x + 1.


It implies  

    4 - 1 = x.

    x = 3.


<U>ANSWER</U>.  The solution to the given problem is  x= 3,  y= 4.


You may check that the solution is correct by substituting the values into the original equations.
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Solved.