   Chapter 10.CT, Problem 19CT Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem

Use algebra to solve the system consisting of the equations 5 x - 2 y = - 13 and 3 x + 5 y = 17 .                                         _

To determine

To solve:

The system consisting of the equations 5x-2y=-13 and 3x+5y=17 using algebraic methods.

Explanation

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

Add the given equations 5x-2y=-13 and 3x+5y=17

Multiply 5 to the equation 5x-2y=-13,

25x-10y=-65

Multiply 2 to the equation 3x+5y=17,

6x+10y=34

Add the equations. 25x-10y=-65 and 6x+10y=34.

The resultant equation is 31x=-31

Then,

x=-3131

x=-1

Now substitute x=-1</

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