Question 421840
.
Solve each system of equations using the substitution method.
4x - y = 32
y = -2x + 70
~~~~~~~~~~~~~~~~~~~~~~~~~~~~



        In the post by @mananth,  the solution and the answer are incorrect.

        I came to bring a correct solution.



<pre>
Your starting equations are

    4x - y = 32,     (1)
    y = -2x + 70.    (2)


Substitute expression (2) for y into equation (1)

    4x - (-2x + 70) = 32.


Simplify and find x

    4x + 2x - 70 = 32,

       6x = 32 + 70 = 102,

        x           = 102/6 = 17.


Now we are going to find y.
For it, substitute x = 17 into equation (2)        

    y = -2x + 70 = -2*17 + 70 = -34 + 70 = 36.


<Y>ANSWER</U>.  The solution is x = 17, y = 36.

         Not y = -36, as mistakenly stated in solution by @mananth.
</pre>

Solved correctly.