https://file.aiquickdraw.com/mathbot/file/1726482406210xi7anyg2.jpg

Let's go through the problems step by step:

### 1. Intersection of the graphs \( x + y = 7 \) and \( x - y = 1 \)

To find the intersection, solve the system of equations:

\[
x + y = 7 \quad \text{(1)}
\]
\[
x - y = 1 \quad \text{(2)}
\]

Add both equations:
\[
(x + y) + (x - y) = 7 + 1
\]
\[
2x = 8 \quad \Rightarrow \quad x = 4
\]

Substitute \( x

What point is the intersection of the graphs of the lines x + y = 7 and x - y = 1?

Learn how to find the intersection of two linear equations: x + y = 7 and x - y = 1. This problem covers key algebraic concepts, including solving simultaneous linear equations using substitution or addition methods. 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