Which point satisfies the equation 2x+3y=8?

A) (-1,3)
B) (2,2)
C) (-2,4)
D) (1,4)

-2,4 substitute for each one and then you will end up with this answer

(-2,4)

Substitute the values for x and y to the given equation, and if it equals to 8, then that point is a solution.

For instance take the first point (-1,3):
2x + 3y = 8
2(-1) + 3(3) = 8
-2 + 9 = 8
7 = 8

They aren't equal so that means that point (-1,3) is not a solution to the linear equation.

Try doing it to the other choices.

(2,2)

(-1,3)

To determine which point satisfies the equation 2x + 3y = 8, we need to substitute the values of x and y from each given point option into the equation and see if the equation holds true.

Let's check each option:

A) (-1,3)
Substituting -1 for x and 3 for y into the equation, we get: 2(-1) + 3(3) = -2 + 9 = 7, which is not equal to 8.

B) (2,2)
Substituting 2 for x and 2 for y into the equation, we get: 2(2) + 3(2) = 4 + 6 = 10, which is not equal to 8.

C) (-2,4)
Substituting -2 for x and 4 for y into the equation, we get: 2(-2) + 3(4) = -4 + 12 = 8, which is equal to 8.

D) (1,4)
Substituting 1 for x and 4 for y into the equation, we get: 2(1) + 3(4) = 2 + 12 = 14, which is not equal to 8.

Therefore, the point that satisfies the equation 2x + 3y = 8 is option C) (-2,4).

(-3,2