   Chapter 10.5, Problem 39E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 39 to 42, use substitution to solve the system.Use Example 9 as a guide. y = 1 2 x - 3   and y = 1 3 x - 2 .

To determine

To Solve:

The system described by the equations y=12x-3 and y=13x-2 using the method of substitution.

Explanation

The steps to be followed to solve a system of equations are described below.

Write each equation in the form of y=mx+b.

Then equate the expressions for y.

Once the x-coordinate of the solution is known, substitute this value of x into either equation to find the value of y.

Since the given equations are in the form y=mx+b equate values for y.

12x-3=13x-2.

Then,

12x-13x=-2 + 3

Using 6 as LCD on left hand side of the equation,

1×32×3x-1×23×2x1

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