Question

For which of the following equation is (-6, -1) a solution?

y=4x+23
1. 3x=1/2y
2. 2x-13y=1
3. 3y=1/2y
4. 2x+6y=-6

Answer 1

The point (-6, -1) is a solution for the equation 2x - 13y = 1, as substituting -6 for x and -1 for y balances the equation.

Step-by-step explanation:

You asked which of the following equations is a solution for the point (-6, -1). To determine if a point is a solution to an equation, we need to substitute the x and y values from the point into each equation and see if the equation balances.

1. For 3x = 1/2y, plugging in -6 for x and -1 for y, we get 3(-6) = 1/2(-1) which simplifies to -18 = -0.5. This does not balance, so (-6, -1) is not a solution to this equation.
2. For 2x - 13y = 1, substituting -6 for x and -1 for y gives 2(-6) - 13(-1) = 1, which simplifies to -12 + 13 = 1. This equation balances, so (-6, -1) is a solution.
3. For 3y = 1/2y, this equation is not valid because it simplifies to 3 = 1/2, which is not true for any value of y, hence (-6, -1) cannot be a solution.
4. Finally, for 2x + 6y = -6, substituting -6 for x and -1 for y leads to 2(-6) + 6(-1) = -6, which simplifies to -12 - 6 = -6. This does not balance, so (-6, -1) is not a solution.

Therefore, the equation 2x - 13y = 1 is the one where (-6, -1) is a solution.