Question 1154168
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;When you have such a system, &nbsp;a standard mantra to pronounce is &nbsp;<U>THIS</U>:



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Left sides are identical,  hence, the right sides are equal, which gives you an equation

        2x + 1 = -4x + 7.


Simplify step by step and solve for x

        2x + 4x = 7 - 1

        6x      = 6

         x      = 6/6 = 1.


Thus you just found "x".  It is 1.

Now substitute the found value of "x" into any of the two original equations to find "y".


From the first equation,   y = 2x + 1 = 2*1 + 1 = 3.


<U>ANSWER</U>.  The solution to the system is  x= 1,  y= 3.


<U>CHECK</U>.  Make checking on your own by substituting the found values x and y into original equations.

        I leave it to you  ---- it is necessary part of the solution (!)
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Solved.


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It is a kind of the Substitution method.


When you are offered equation in this form, &nbsp;you are lucky: &nbsp;the equations are just ready for substitution.

It facilitates the remaining work.