Math Problem Statement

Solve the system of linear equations: x + y = 4 and x + 7y = 10.

Solution

The system of linear equations provided in the image is:

1. x+y=4\text{1. } x + y = 4 2. x+7y=10\text{2. } x + 7y = 10

To solve this system of equations, we can use the substitution method or elimination method. Let's use the substitution method here:

  1. From equation (1), solve for xx in terms of yy: [ x =

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Substitution Method
Elimination Method

Formulas

x = 4 - y (from equation x + y = 4)
x + 7y = 10

Theorems

None (basic algebraic methods)

Suitable Grade Level

Grades 8-10