Hi mark,

You have the option of solving this system using a variety of methodologies. But, I would expect you are limited to, say, elimination or substitution method, right?

For this system, I would suggest that we put each equation in the form:

and use the elimination method. It just seems like it's better suited for this method over the substitution method.

(1)

(2)

With this arrangement, let's eliminate the x-value by multiplying the (1) equation by 25 and the (2) equation by -2.

You see, I found out that the LCM of 12 and 150 was 300, and that helped me make the decision to go with elimination.

(1)

(2)

Now add (1) + (2) = (3)

(3)

(3)

Now use this y-value to substitute into (1) to discover the x-value.

(1)

You can check these answers by substituting them back into each of the original two equations.