   Chapter 4.1, Problem 26E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 21-30, use technol.ogy to obtain approximate solutions graphically. All solutions should be accurate to one decimal place. {Zoom in/or improved accuracy.) 100 x + 4.5 y = 540 1.05 x + 1.1 y = 0

To determine

To calculate: The solution to the system of equations 100x+4.5y=540 and 1.05x+1.1y=0, graphically, with the help of graphing calculator.

Explanation

Given Information:

The provided system of equations is,

100x+4.5y=5401.05x+1.1y=0

Calculation:

Consider the equations,

100x+4.5y=5401.05x+1.1y=0

To find the solution of a system of linear equations whose coefficients are either fractions or decimals, multiply the equations with suitable numbers to remove the fractions and decimals.

Consider the equation, 100x+4.5y=540

Multiply the above equation by 10 to get rid of decimals.

10(100x+4.5y)=10(540)10(100x)+10(4.5y)=540010(100x)+10(4510)y=54001000x+45y=5400

Now, consider the equation, 1.05x+1.1y=0

Multiply the above equation by 10 to get rid of decimals.

100(1.05x+1.1y)=100(0)100(1.05x)+100(1.1y)=0100(105100x)+100(1110y)=0105x+110y=0

So, the system of equations,

100x+4.5y=5401.05x+1.1y=0

Is equivalent to the system of equations,

1000x+45y=5400105x+110y=0

Rewrite y as a function of x in equation 1000x+45y=5400

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