180k views
2 votes
What is the ordered pair for this?
4x+5y=22
2x-5y=-4

User Spoekes
by
7.7k points

1 Answer

5 votes

Final answer:

To solve the system of equations, the addition method was used to find the ordered pair which is (3, 2).

Step-by-step explanation:

The question involves finding the ordered pair that satisfies both of the given equations:
1. 4x + 5y = 22
2. 2x - 5y = -4

To solve this system of equations, we can use the method of addition (or elimination). Adding the two equations will eliminate y and allow us to solve for x:

  • 4x + 5y = 22
  • 2x - 5y = -4
  • ---------------
  • (4x + 2x) + (5y - 5y) = 22 - 4
  • 6x = 18

Dividing both sides by 6, we find x = 3.

Now, plug x = 3 into one of the equations to find y. Using the first equation:

  • 4(3) + 5y = 22
  • 12 + 5y = 22
  • 5y = 22 - 12
  • 5y = 10
  • y = 2

Therefore, the ordered pair solution to the system is (3, 2).

User Mob
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories