X+2y greater than or equal to 10

3x-4y greater than 12

What ordered pairs are solutions to the set of equations

16,9

10,2

8,1

2,6

4,-4

14,-1

-4,2

16, 9

10, 2

Step-by-step explanation:

Given the two equations:

x + 2y ≥ 10

3x - 4y > 12

You need to multiply the first fraction by a factor of '2' in order to get the opposite coefficients of 'y' to eliminate that variable:

2 (x + 2y ≥ 10)

2x + 4y ≥ 20

+ 3x - 4y > 12

5x > 32

x > 6.4

Solve for 'y':

6.4 + 2y ≥ 10

2y ≥ 3.6

y ≥ 1.8

The only set of ordered pairs that have x > 6.4 and y > 1.8 are:

16, 9 and 10, 2