Two times a number added to another number is 25.  Three times the first number minus the other number is 20.  Write a system to model the situation and find the numbers. Responses2x + y = 253x - 2y = 20The numbers are 7 and 9 2x + y = 25 3x - 2y = 20 The numbers are 7 and 9  2x + y = 203x - y = 25The numbers are 7 and 11 2x + y = 20 3x - y = 25 The numbers are 7 and 11  2x + 25 = y3x - 2y = 20The numbers are 9 and 7 2x + 25 = y 3x - 2y = 20 The numbers are 9 and 7  2x + y = 253x - y = 20The numbers are 9 and 7

A two digits number is equal to 7 times the sum of its digits and 21 times the difference of its digits. If xy represents the required number then the simultaneous equations are written as: A) 7y – xy = 7x and 21x + xy = 21 B) 7x + xy = 7y and 21 x – xy = 21y C) 7x – xy = 7y and 21x – xy = 21 D) 7x – xy = -7y and 21y + xy = 21x

One number added to three times another number is 24. Five times the first number added to three times the other is 36. Select the system of equations that correctly represents this system of equations.

. A two digit number is 27 more than the number obtained by reversing it’s digits. Representthe above situation as linear equation in two variables, with, x and y representing digit atunit’s and ten’s place respectively

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books. Which system of linear equations represents the situation?Responsesx+y=26 and x+y=12x plus y is equal to 26 and x plus y is equal to 12x+y=26 and x−y=12x plus y is equal to 26 and x minus y is equal to 12x−y=26 and x+y=12x minus y is equal to 26 and x plus y is equal to 12x+y=26 and −x+y=12

The first of two numbers is three less than the second number. Two times the second number plus three times the first is 21. What are the two numbers?