Chapter 1.BMO, Problem 5BMO

### Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
ISBN: 9781337405782

Chapter
Section

### Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
ISBN: 9781337405782
Textbook Problem

# Find the point of intersection of the lines 2 x − 3 y = − 2 and 9 x + 12 y = 25 .

To determine

To find:

The point of intersection of two given lines.

Explanation

Given:

The given equation of line 1 is,

2xâˆ’3y=âˆ’2

And,

The equation of line 2 is,

9x+12y=25

Calculation:

Consider the given equations.

2xâˆ’3y=âˆ’2â€¦(1)

9x+12y=25â€¦(2)

Solve the equation (1) to find the value of x.

2xâˆ’3y=âˆ’22x=âˆ’2+3yx=3yâˆ’22

Substitute 3yâˆ’22 for x in equation (2).

9(3yâˆ’22)+12y=2513

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