Question 1154404
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In this system of equations, the left sides are identical.

Hence, right sides are equal


    -2x + 6 = 2x + 2.


Thus you have one single equation for the unknown "x" only.


From the equation


    6 - 2 = 2x + 2x

    4     = 4x

    x     = 4/4 = 1.


Thus one unknown is just found :  x= 1.


Now substitute it into either of the two original equations.


The easiest way is to substitute it into the second equation to get


    y = 2x+2 = 2*1 + 2 = 4.


<U>ANSWER</U>.  The solution to the system is  x= 1, y =4.
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Solved.