Which ordered pair (x, y) satisfies the system of equations? 1/12 x − 1/12 y = 13 1/3 x − 1/6 y = 20

(-36,-192)

Step-by-step explanation:

First we are going to get rid of our fractions so that we don't have to worry about them.  For the first equation multiply by 12 and so:

Similarly, we will also get rid of our fraction for the second equation by multiplying all of it by 6 and so:

Now it's much easier to work with these equations.  We will use the elimination method to isolate x and thus solve for x by subtracting equation 1 from equation 2 and so:

Now since x=-36  we will plug that value into any of the new equations to evaluate the y-coordinate of our intersection, I'll choose the second and so:

Therefore, the solution for the system of equations is when x = -36 and y = -192.  In an ordered pair (x,y) the solution is (-36,-192).

lo.lll

step-by-step explanation:

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