Question

What is the intersection of the lines 2x + y = 2 and -3x-2y = -6 (4-2), (-2,6,)(-22),(4,3)

Answer 1

The intersection of the lines 2x + y = 2 and -3x - 2y = -6 is (-2, 6).

Step-by-step explanation:

To find the intersection of two lines, we need to solve the system of equations formed by the lines. The given equations are:

2x + y = 2 and -3x - 2y = -6

We can solve this system using substitution or elimination method. Let's use the elimination method:

1. Multiply the first equation by 2 to eliminate the y term: 4x + 2y = 4
2. Add the modified first equation and the second equation: -3x - 2y + 4x + 2y = -6 + 4
3. Simplify the equation: x = -2
4. Substitute the value of x into the first equation: 2(-2) + y = 2
5. Solve for y: y = 6

Therefore, the intersection point of the two lines is (-2, 6).