Question

3x + 4y = 14 x = 2y - 12 Which point satisfies both equations? Responses A (-2,-2)(-2,-2) B (-2,5)(-2,5) C (-4,4)(-4,4) D (2,2)(2,2) E (6,-1)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the point that satisfies both equations, we need to substitute the value of x and y from one equation into the other equation and check if it is true.

Let's substitute x = 2y - 12 into the equation 3x + 4y = 14:

3(2y - 12) + 4y = 14
6y - 36 + 4y = 14
10y - 36 = 14
10y = 50
y = 5

Now substitute y = 5 into the equation x = 2y - 12:

x = 2(5) - 12
x = 10 - 12
x = -2

So, the point that satisfies both equations is (-2, 5).

Therefore, the correct answer is B (-2, 5).