How do you solve a system of two equations with two unknowns?

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10 and 2x − y = 5

There are three main methods to solve a system of equations:

1. Substitution: Solve one equation for one variable, then substitute into the other. Example: x + y = 10 and 2x − y = 5 From equation 1: y = 10 − x Substitute: 2x − (10 − x) = 5 → 3x = 15 → x = 5, y = 5

2. Elimination: Add or subtract equations to eliminate one variable. Add both equations: 3x = 15 → x = 5

3. Graphing: Plot both lines and find the intersection point.

Substitution works best when one variable is easy to isolate. Elimination is efficient when coefficients align.

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There are three main methods to solve a system of equations: 1. Substitution: Solve one equation for one variable, then substitute into the other.

How do you solve a system of two equations with two unknowns?
English

This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.

ScanSolve AI Answer
There are three main methods to solve a system of equations: 1. Substitution: Solve one equation for one variable, then substitute into the other. Example: x + y = 10 and 2x − y = 5 From equation 1: y = 10 − x Substitute: 2x − (10 − x) = 5 → 3x = 15 → x = 5, y = 5 2. Elimination: Add or subtract equations to eliminate one variable. Add both equations: 3x = 15 → x = 5 3. Graphing: Plot both lines and find the intersection point. Substitution works best when one variable is easy to isolate. Elimination is efficient when coefficients align.