Question

A system of equations is graphed on the grid. Which system of equations is best represented by the graph? (-4,-1)

Answer 1

Without the actual graph, it is difficult to determine which system of equations best represents the given point (-4,-1). However, we can look at a few examples to determine which system of equations might match the point.

Let's consider two systems of equations:

1)
Equation 1: 2x + 3y = 5
Equation 2: x - y = -5

If we substitute x = -4 and y = -1 into each equation, we find:
Equation 1: 2(-4) + 3(-1) = 5
-8 - 3 = 5
-11 ≠ 5

Equation 2: -4 - (-1) = -5
-4 + 1 = -5
-3 ≠ -5

Since neither equation evaluates to -4, -1, System 1 is not the correct system.

2)
Equation 1: 3x - 2y = 10
Equation 2: 4x + y = -8

If we substitute x = -4 and y = -1 into each equation, we find:
Equation 1: 3(-4) - 2(-1) = 10
-12 + 2 = 10
-10 ≠ 10

Equation 2: 4(-4) + (-1) = -8
-16 - 1 = -8
-17 ≠ -8

Since neither equation evaluates to -4, -1, System 2 is not the correct system.

Without further information or context, it is impossible to determine the correct system of equations that best represents the given point (-4, -1).