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:
To solve this system of equations, we can use the substitution method or elimination method. Let's use the substitution method here:
- From equation (1), solve for in terms of : [ 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
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