Question 263070
1.) 5R-4S=-17
2.) 4R+5S=52

We need to multiply both sides of each of the equations by values that will produce a common coefficient on either x or y in both equations so that when the equations are either added together or subtracted one of the variables is eliminated:

We can eliminate R by multiplying the first equation by 4 and the second equation by 5:

4*5R - 4*4S = 4*-17
5*4R + 5*5S = 5*52

Simplifying these we have:

3.) 20R - 16S = -68
4.) 20R + 25S = 260

Subtracting equation 4.) from 3.) we then have:

-41S = -328 
S = 8

Substitute 8 for S in either of the original two equations and calculate R.