Question

Which ordered pair is a solution to the equation below? 3x + 2y = 10

Question 1 options:

(4, 0)

(6, -4)

(-1, 4)

Answer 1

The ordered pair (6, -4) is a solution to the equation 3x + 2y = 10.

Step-by-step explanation:

The equation given is 3x + 2y = 10. To determine which ordered pair is a solution, we can substitute the values of x and y from each option into the equation and solve for both sides. Let's test each option:

1. Option (4, 0): 3(4) + 2(0) = 12 + 0 = 12 ≠ 10
2. Option (6, -4): 3(6) + 2(-4) = 18 - 8 = 10
3. Option (-1, 4): 3(-1) + 2(4) = -3 + 8 = 5 ≠ 10

Therefore, the ordered pair (6, -4) is the solution to the equation 3x + 2y = 10.

Answer 2

(6,-4)

Step-by-step explanation:

I have tried replacing each option with x, y in the equation.

Let's replace (6, -4) with x and y

3x+2y=10

3(6)+2(-4)=10

3(6)= 18 2(-4)= -8

18+(-8)=10

in other words:

18-8=10

The statement is true, so the correct answer is:

(6, -4)