Question

Determine the solution to the system of equations below. -5x – 7y = 11 x – 2y = -9 Responses A Infinitely many solutionsInfinitely many solutions B x = -5, y = 2x = -5, y = 2 C No solutionNo solution D x = -5, y = -7

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this system of equations, we can start by solving the second equation for x in terms of y:

x - 2y = -9
x = 2y - 9

Now we can substitute this expression for x into the first equation and solve for y:

-5(2y - 9) - 7y = 11
-10y + 45 - 7y = 11
-17y + 45 = 11
-17y = -34
y = 2

Now that we have found the value of y, we can substitute it back into the second equation to solve for x:

x = 2(2) - 9
x = 4 - 9
x = -5

Therefore, the solution to the system of equations is x = -5, y = 2, so the correct answer is:

B x = -5, y = 2