BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.9, Problem 33E
To determine

To calculate: The value of x from the equation 2x+12x=7 by algebraic method and graphical method.

Expert Solution

Answer to Problem 33E

The value of x is 6 and Graph of the equation is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 33E , additional homework tip  1

Explanation of Solution

Given information:

The equation 2x+12x=7 .

Calculation:

It is provided that the equation 2x+12x=7 .

Algebraic method;

The method in which isolate x on one side of the equation and solve the value of x .

Subtract 2x from the equation 2x+12x=7 ,

  2x+12x=752x=7

Solve the value of x from the equation,

  52x=7514=x

Therefore, the value of x=514 .

Graphical method;

Let put y1=7 and y2=2x+12x

The graph of the equation y1=7 provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 33E , additional homework tip  2

The graph of the equation y2=2x+12x can be sketched using the table,

    xy2
    152
    254
    458
    254
    458

The graph of equation is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 33E , additional homework tip  3

The graph of both equations in same figure is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 33E , additional homework tip  4

The solution is the x coordinate of the intersection point (514,7)  of the two graphs. So, the intersection point on the x coordinate is 514 .

Thus, the value of x is 514 .

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