# SOLUTION: I have two questions that I missed on a test. Will someone please help me. 1. The sum of a number and 17 more than twice the same number is 101. Find the number. I came up wit

Algebra ->  Algebra  -> Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I have two questions that I missed on a test. Will someone please help me. 1. The sum of a number and 17 more than twice the same number is 101. Find the number. I came up wit      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 174661: I have two questions that I missed on a test. Will someone please help me. 1. The sum of a number and 17 more than twice the same number is 101. Find the number. I came up with 67. 2. Write an equation in slope-intercept form for the line that passes through (3,5) and (-2,1). I must show my work to get credit for these two problems. ThanksAnswer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!I have two questions that I missed on a test. Will someone please help me. 1. The sum of a number and 17 more than twice the same number is 101. Find the number. I came up with 67. ------------------- n = number n + (2n+17) = 101 3n + 17 = 101 3n = 84 n = 28 How did you get 67? ----------------- 2. Write an equation in slope-intercept form for the line that passes through (3,5) and (-2,1). First, the long way. Find the slope, m, = (diff in y)/(diff in x) m = (5-1)/(3-(-2)) m = 4/5 Then use either point y-y1 = m*(x-x1) y-5 = (4/5)*(x-3) y-5 = (4/5)x - 12/5 y = (4/5)x + 13/5 (in slope-intercept form) ---------------- Easier method: |x y +1| |3 5 +1| = 0 |-2 1 1| Note: the + signs aid in alignment x*(5-1) - y*(3 -(-2)) + (3-(-10)) = 0 4x -5y +13 = 0 5y = 4x + 13 y = (4/5)x + 13/5 -------------- I must show my work to get credit for these two problems.