SOLUTION: the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times the second is 95. Find the numbers.

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times the second is 95. Find the numbers.       Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 494308: the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times the second is 95. Find the numbers. Answer by Maths68(1474)   (Show Source): You can put this solution on YOUR website!Let x and y are two numbers According to given conditions 7x-3y=25 ………..(1) 2x+5y=95……..(2) Multiply (1) by 2 and (2) by -7 and add 14x-6y=50 -14x-35y=-665 --------------------- -41y=-615 y=-615/-41 y=15 Put the value of y in either equations (1) or (2) to get x 2x+5y=95……..(2) 2x+5(15)=95 2x+75=95 2x=95-75 2x=20 x=20/2 x=10 Numbers are 10 and 15 Check Put the value of x and y in either equations (1) or (2) 7x-3y=25………..(1) 7(10)-3(15)=25 70-45=25 25=25