   Chapter 10.CR, Problem 23CR 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 Review Exercises 23 and 24, solve the system of equations in Review Exercises 21 and 22 by using algebraic methods. 4 x - 3 y = - 3 x + 2 y = 13

To determine

To find:

The point of intersection of the two lines 4x-3y=-3 and x+2y=13 using algebraic methods.

Explanation

The point of intersection of two lines is found by using Addition or Subtraction property of Equality.

Subtract the given equations. 4x-3y=-3 and x+2y=13

Multiply 4 to the equation x+2y=13,

4x+8y=52

Subtract the given equations. 4x-3y=-3 and 4x+8y=52.

The resultant equation is -11y=-55

Then,

y=-55-11

y=5

Now substitute y=5 in 4x

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