Determine which of the ordered pair is a solution for the equation 2x-3y=7

A. (7,7)

B. (-4,-5)

C. (-9,10)

D. (9,4)

The correct answer is: B.

We could use a graphing calculator to solve this easily, but let's just solve it by looking at the equation.

We'll need to turn this standard form equation into a slope-intercept form equation to be able to easily solve it.

Isolate y.

2x - 3y = 7

Add 3y to both sides.

2x = 3y + 7

Subtract 7 from both sides.

3y = 2x - 7

Divide both sides by 3.

y = 2/3x - 7/3

Now, we can plug each x value in the answer choices into x to find the corresponding y value.

y = 2/3 (7) - 7/3 = 2.34

As this y value does not match, A is not the answer.

y = 2/3 (-4) - 7/3 = - 5

This y value does match, so B is the correct answer.

y = 2/3 (-9) - 7/3 = - 8.34

This y value doesn't match either, so C is not the answer.

y = 2/3 (9) - 7/3 = 3.67

This y value doesn't match either, so D is not the answer.