Ask Experts Questions for FREE Help !
Ask
    bam_dalmation's Avatar
    bam_dalmation Posts: 1, Reputation: 1
    New Member
     
    #1

    Jun 5, 2007, 10:39 AM
    Simultaneous Linear Equations in 2 Variables
    y=3x-1
    5x-y=5

    how do I do this the easy way?:confused:
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
    Expert
     
    #2

    Jun 5, 2007, 10:46 AM
    If you just add the left sides of the two equations and the right sides, you're almost home. That is:

    Equation 1: y = 3x-1
    Equation 2: 5x-y = 5.

    Add them:

    y+5x-y = 3x-1+5

    Notice the y terms cancel out, leaving a single equation with x as the only unknowm. So now you can solve for x. Once you have x, substitute its value into either equation 1 or 2 and solve for y.
    sleepyheadzzz's Avatar
    sleepyheadzzz Posts: 6, Reputation: 1
    New Member
     
    #3

    Apr 3, 2008, 12:51 PM
    You'd want to eliminate one of them, the y looks easy to eliminate because you have an equation with only y on one side. So you'd then get to:

    5x-3x-1=5

    Solve to find x, then put the value of x into an equation (I recommend the easy one) to find y.

    Ta da.

    Hope it helped
    morgaine300's Avatar
    morgaine300 Posts: 6,561, Reputation: 276
    Uber Member
     
    #4

    Apr 3, 2008, 03:54 PM
    Sleepy, have some coffee. This post is almost a year old.
    samsounak's Avatar
    samsounak Posts: 1, Reputation: 0
    New Member
     
    #5

    Nov 15, 2010, 07:51 AM
    y=3x-1
    5x-y=5
    equation 1; y=3x-1
    equation 2 ; 5x-y=5
    =>5x=5+y
    =>x=(5+y)/5 -> equation 2
    by substituting the value of y and x on equation 2
    you will get the 'y'
    therefore,5*(5+y/5)-3*(5+y/5)-1=5
    =>5+y(-15+3y)/5-1=5
    =>y-15+3y-1=5-5
    =>y+3y=0+15+1
    =>4y=16
    =>y=4
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
    Expert
     
    #6

    Nov 15, 2010, 08:06 AM

    Samsounak - this post is over three years old, and unfortunately you got the wrong answer. If you put your value for y back into the original equation you'll find that it doesn't work. Your error starts with the substitution you made here:

    therefore,5*(5+y/5)-3*(5+y/5)-1=5

    That should be a +1, not a negative 1. The answer you should get is y = 5 and x = 2.
    prateek_99's Avatar
    prateek_99 Posts: 1, Reputation: 1
    New Member
     
    #7

    Dec 13, 2010, 11:17 AM
    y=3x-1 --- 1
    5x-y=5 --- 2
    putting Y in eq. 2
    5x-(3x-1)=5
    2x=4
    x=2
    putting value of X in eq.1
    Y=3*2-1
    Y=6-1
    Y=5
    X=2,Y=5
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
     
    #8

    Dec 13, 2010, 11:40 AM

    Quote Originally Posted by prateek_55
    prateek_99 does not find this helpful : cudnt understand d concept
    This is uncalled for. ebaines did understand the concept and was actually pointing out that samsounak was wrong and if you read the previous posts, he already posted the steps to follow to solve the problem.

    Lastly, this thread is over 3 years old and has spread enough trouble around.

    THREAD CLOSED

Not your question? Ask your question View similar questions

 

Question Tools Search this Question
Search this Question:

Advanced Search


Check out some similar questions!

Linear Equations in two and three variables [ 1 Answers ]

I am supposed to write a word problem from day to day life that can be translated into a linear equation in two and another problem that can be translated into a linear equation in three variables.

Linear equations [ 1 Answers ]

I am wondering how to solve the problem 1/3x+7=7:confused:

Linear Equations [ 1 Answers ]

y=-3x+7 What form of a linear equation is this? What is the slope of this line?

Linear equations [ 2 Answers ]

I need to solve for y. How do I go about finding the answer to this problem. 2y+5x=7

Simultaneous Linear Equations in Two Variables [ 1 Answers ]

Help I don't understand how to do them.


View more questions Search