Solving a system of linear equations when the lines are parallel

by RACHEL
(CALIFORNIA)

Find the value of k so that the two given lines will be parallel.

3X-KY=7
2X+5Y=-1

First, put the two equations in standard form

3X - KY = 7

3X - 7 = KY

3X/K -7/K = Y

Now put 2X + 5Y = -1 in standard form too

2X + 1 = -5Y

2X/-5 + 1/-5 = Y

The two equations are now in standard form
y = mx + b

3X/K -7/K = Y


2X/-5 + 1/-5 = Y

They are parallel if the slope are equal.

so they are parallel if 3/K = 2/-5

Cross multiply to get

2K = -15

so K = -15/2

Comments for Solving a system of linear equations when the lines are parallel

Average Rating starstarstarstarstar

Click here to add your own comments

Jan 11, 2014
Rating
starstarstarstarstar
Most regards,
by: Shah Maqsood Menatpall Akbari


Most regards to you dear sir/madam
I am so happy to be your student in mathematics.
Accept me please that will your kindness.

Thank You

Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to System of linear equations.

Recent Articles

  1. Graphs of Quantitative Data

    May 18, 21 06:54 AM

    Graphs of quantitative data, also called grouped data, can be displayed using a histogram or a polygon. Learn how to make histograms using raw data

    Read More