   Chapter 10.5, Problem 42E 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. x = d and y = f x + g .

To determine

To Solve:

The system described by the equations x=d and y=fx+g using the method of substitution.

Explanation

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

Write each equation in the form of y=mx+b if it is not in the format.

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.

Here, one of the given equations is in the form y=mx+b and the value of x is given.

So, substitute x=d in y=fx+g.

Then,

y=fd+g.

It is given that x=d.

So, the ordered pair is d, (fd+g)

Check:

Substitution of fd+g for y in y=fx+g leads to,

fd+g=fx+g

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