For this equation, we must substitute each x and y value into the equation. I will show it in steps by each option
Option One: 4y≥3x+2 x=4 y=3
I have to substitute each value for the number:
4(3)≥3(4)+2
Simplify: 12≥12+2
This equation is not true, therefore incorrect.
Option 2: x=6, y=5
Substitute values: 4(5)≥3(6)+2
Simplify: 20≥18+2
Addition: 20≥20
This equation is true because the sign ≥ means "greater than or equal to," and the equation 20≥20 shows 20=20, therefore it is true. I will show the answers for the other 2 options, but will not walk it through.
Option 3: x=3, y=0
4(0)≥3(3)+2
0≥9+2
Not true. 0 is not greater than or equal to 11
Option 4: x=7, y=5
4(5)≥3(7)+2
20≥21+2
20≥23
This is not true because 20 is not greater than or equal to 3.
Answer: Option 2 (x=6, y=5) would be the best answer because the equation is only true in this option.
