Question

Is ( – 6,4) a solution to this system of equations? y= – 3x–14 y=x+10

Answer 1

The point (-6, 4) satisfies both equations in the system, so it is a solution to the system of equations.

Step-by-step explanation:

To determine if the point (-6, 4) is a solution to the system of equations:

• y = -3x - 14
• y = x + 10

First, we substitute x with -6 and y with 4 into each equation:

1. 4 = -3(-6) - 14
2. 4 = (-6) + 10

For the first equation:

4 = 18 - 14
4 = 4. This is true, so (-6, 4) satisfies the first equation.

For the second equation:

4 = -6 + 10
4 = 4. This is also true, so (-6, 4) satisfies the second equation as well.

Since the point (-6, 4) satisfies both equations, it is indeed a solution to the system of equations.