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anonymous

  • 5 years ago

need help solve the system of equations by graphing then classify the system as consistent or inconsistent, and as dependent or independent 4x-y=15 x+5y=-12

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  1. anonymous
    • 5 years ago
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    inconsistent x=21/2 y=-9/2

  2. anonymous
    • 5 years ago
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    would you plz show your work so i can figure out the next one on my own

  3. anonymous
    • 5 years ago
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    by graphing, you can find the point of intersection as the solution.

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  4. anonymous
    • 5 years ago
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    will you plz show me how you got this

  5. anonymous
    • 5 years ago
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    first you plot the graph of these linear equations. they are straight lines. 4x-y=15 is y=4x-15 which 15 is the y-intercept. to find the x-intercept, substitue y=0 into the equation. 0=4x-15 implies x=15/4. now u can draw the straight line. same goes on x+5y=-12. change it to y=mx+c then you'll get the y-intercept. to find x-intercept, substitute y=0. after that plot them and you'll get another straight line. after plotting, you can see there is a point of intersection which is the solution of this linear system.

  6. anonymous
    • 5 years ago
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    i dont understand what the answer is what numbers do i plot

  7. anonymous
    • 5 years ago
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    plot the x-intercept and y-intercept that you obtained and draw a line pass through the points :)

  8. anonymous
    • 5 years ago
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    what are they? will you show your work

  9. anonymous
    • 5 years ago
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    for 4x-y=15, you have x-intercept = 15/4 and y-intercept = 15. put a dot on x=15/4 on x-axis and put a dot on y=15 at y-axis.

  10. anonymous
    • 5 years ago
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    then draw a straight line that pass through both of the dots. okay?

  11. anonymous
    • 5 years ago
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    not sure how to plot 15/4

  12. anonymous
    • 5 years ago
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    15/4 = 3 and 3/4. plot it in between 3 and 4 but close to 4 since the ratio is 3/4.

  13. anonymous
    • 5 years ago
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    so it would be (0,3/4)?

  14. anonymous
    • 5 years ago
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    15/4 is the x-intercept, you should draw it on x-axis. the coordinate is (15/4, 0). 15/4 is an improper fraction. you can change it into mixed number and you'll get 3+3/4 which is between 3 and 4 :)

  15. anonymous
    • 5 years ago
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    ok so i put a dot on (0,15) and between 3 and 4 what about the 2nd equation of x+5y=-12

  16. anonymous
    • 5 years ago
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    you're right. now we proceed to the next line. try to rearrange it into general form, y=mx+c.

  17. anonymous
    • 5 years ago
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    5y=mx+-12?

  18. anonymous
    • 5 years ago
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    5y=-x-12, divide all by 5, you'll get y=-x/5 -12/5. now you know the y-intercept is -12/5. try substituting y=0 and find the x value. that's how you obtain the x-intercept.

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