# The value of x from the equation 2 x + 1 2 x = 7 by algebraic method and graphical method.

### Precalculus: Mathematics for Calcu...

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

### 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

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

### 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,

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

 x y2 1 52 2 54 4 58 −2 −54 −4 −58

The graph of equation is provided below,

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

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 .

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!