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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

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 = 2 x + 3 and y = 3 x .

To determine

To Solve:

The system described by the equations y=2x+3 and y=3x 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.

2x+3 = 3x

Bring 3x to left hand side of the equation.

Bring 3 to right hand side of the equation.

Then,

2x-3x  = -3

2x-3x leads to -x

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