77.7k views
2 votes
The sum of two numbers is 11. Twice the first number minus the second number is 7

Find the numbers.​

2 Answers

4 votes

Answer: 6; 5

Explanation:

Based on the questions, we set up two equations, let the x be the first number, and y be the second number.

x + y = 11

2x - y= 7

x = 11 - y [Subtract y from both side]

2x - y = 7

2(11 - y) - y = 7 [Plug in 11-y for x, solve for y]

22 - 2y - y = 7

22 - 3y = 7

-3y = -15 [Subtract 22 from both side]

y = 5

x + y = 11 [Plug in 5 for y, solve for x]

x + 5 = 11 [Subtract 5 from both side]

x = 6

User George Liu
by
3.3k points
5 votes

Answer:

6 and 5

Explanation:

6 * 2 = 12

12 - 5 = 7

6 and 5 is your answer

User Cody Harness
by
3.5k points