Tiffany B. The sum of two numbers is 62 and the difference is 10. What are the numbers? 2 Answers By Expert Tutors
Karen S. answered • 02/03/15 BSEET Graduate, Creative Writing MA Graduate, and MFA Student
x = first number, y = second number difference is 10, means y-x = 10 You can solve a system of equations by Substitution, Elimination, Graphing, or Matrices. Graphing is probably not the best for this one, but it is possible by putting both equations in y=mx+b form and putting into a graphing calculator. Now substitute for x in the second equation Now substitute y into original equation (either will work) -x +y = 10 Now add the two equations together substitute y into either equation as in substitution (either works) Put the Coefficients and constants into a matrix as follows: either multiply a row by a number or add a row by the other row multiplied by a number. Get the matrix in the form Easier to start with the a 0, so get the -1 in the second row to 0 [-1+(1*1) 1+(1*1) | 10+(1*62) ] [ 0*(1/2) 2*1/2) | 72*(1/2)] [ 0 1 | 36 ] <-- we now have the y value [ 1+(-1*0) 1+(-1*1) | 62+(-1*36) ] [ 1 0 | 26 ] <-- we now have x value [ 0 1 | 36 ] <-- and we have y value |