Math Problem Statement

Solve the system of equations using the substitution method: y = -1 + (3/8)x and 2x - 5y = 6.

Solution

Let's solve the given system of equations using the substitution method:

  1. The equations provided are: y=1+38xy = -1 + \frac{3}{8}x 2x5y=62x - 5y = 6

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

Substituting y=1+38xy = -1 + \frac{3}{8}x into 2x5y=62x - 5y = 6, we get: [ 2x - 5\left(-1 + \frac{

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Systems of Equations
Substitution Method

Formulas

Substitution of one equation into another to solve a system of equations
Linear equation in the form y = mx + b

Theorems

Properties of equality for solving equations

Suitable Grade Level

Grades 8-10