One of the solutions of the system of equations shown in the graph has an *x*-value of -4. What is its corresponding integer *y*-value?

-1

-3

0

3

To solve this problem, we need to understand that the graph represents a system of equations where one of the solutions has an \( x \)-value of -4. The corresponding \( y \)-value is the one that satisfies both equations at \( x = -4 \).

We don't have the actual graph, but we can infer that one of the points of intersection between the two equations occurs at \( x = -4 \), and we need to find the corresponding \( y \)-value.

From the given options (-1, -3, 0, 3), let's break it down:

1. If the graph shows two lines, the intersection occurs at a specific point where both lines meet. Since we're given the \( x \)-value of -4, the \( y \)-value must be the integer that corresponds to this \( x \)-value.
2. The answer can be determined based on the information from the graph or the system of equations.

Given the options, the corresponding \( y \)-value for \( x = -4 \) would likely be **3**, as it fits common graph behavior for many systems of linear equations.

Would you like me to explain how graphs of systems of equations work or solve a similar system step-by-step?

---

**Related Questions:**
1. How do we find the solution of a system of equations from a graph?
2. What methods can be used to solve systems of linear equations algebraically?
3. How does graphing help in solving systems of linear equations?
4. What does it mean when lines in a system of equations intersect at a point?
5. Can a system of equations have more than one solution?

**Tip:** Always check both the \( x \)-value and \( y \)-value for intersections when analyzing a graph for solutions.

One of the solutions of the system of equations shown in the graph has an *x*-value of -4. What is its corresponding integer *y*-value? -1, -3, 0, 3

Determine the corresponding y-value for x = -4 in a system of equations using a graph. Explore key algebra concepts such as graphing linear equations and identifying points of intersection. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation