Math Problem Statement

Solve the system of equations by using substitution. Y=2x+3 y=x+2 (x,y)

Solution

To solve the system of equations using substitution, we start with the two equations:

  1. y=2x+3y = 2x + 3
  2. y=x+2y = x + 2

Step 1: Substitute yy from the second equation into the first equation.

Since y=x+2y = x + 2, replace yy in the first equation:

x+2=2x+3x + 2 = 2x + 3

Step 2: Solve for xx.

Rearrange the terms to isolate xx:

23=2xx2 - 3 = 2x - x

[ -1 =

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Math Problem Analysis

Mathematical Concepts

Algebra
Systems of Linear Equations
Substitution Method

Formulas

y = 2x + 3
y = x + 2

Theorems

Substitution method for solving systems of equations

Suitable Grade Level

Grades 7-9