Find all solutions of the given system of equations and check your answer graphically. HINT [See Examples 2–5.] (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y = y(x).)
x − y = 0
x + y = 8
(x, y) =

The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, If the given equation is and .

Step-by-step explanation:

The given is,

                              ...............................(1)

                              ...............................(2)

Step:1

          Solution can be obtained by Elimination method,

          Equation (1) is multiplied by (-1)           ( Eqn (1) × -1 )

                             ..............................(3)

          Substrate the equation (1) and equation (3),

         ( - )

         we can cancel the minus because it is available in both sides,

                                     x = 4

        From the value of x, Equation (2) becomes,

                                         (Value of y in terms of x)

        Where, x = 4

Step:2

       Check for solution,

                             .....................................(2)

       Substitute the values of x and y,

                             4 + 4 = 8

                                   8 = 8

Result:

         The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, where x=4. If the given equation is and .

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step-by-step explanation:

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