Math Problem Statement

Solve the system of linear equations: \[ \begin{cases} y = 2x + 1 \\ 2x - y = 3 \end{cases} \]

Solution

This is a system of linear equations:

y = 2x + 1 \\ 2x - y = 3 \end{cases}$$ To solve this system, we can use substitution or elimination. I’ll use substitution here since $$y$$ is already isolated in the first equation. 1. Substitute $$y = 2 \ \ (2x + 1)$$ from the first equation into the second equation: \[ 2x - (2x + + 1)

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Systems of Equations

Formulas

y = 2x + 1
2x - y = 3

Theorems

Substitution Method

Suitable Grade Level

Grades 8-10