anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
inconsistent x=21/2 y=-9/2
anonymous
  • anonymous
would you plz show your work so i can figure out the next one on my own
anonymous
  • anonymous
by graphing, you can find the point of intersection as the solution.
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anonymous
  • anonymous
will you plz show me how you got this
anonymous
  • anonymous
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.
anonymous
  • anonymous
i dont understand what the answer is what numbers do i plot
anonymous
  • anonymous
plot the x-intercept and y-intercept that you obtained and draw a line pass through the points :)
anonymous
  • anonymous
what are they? will you show your work
anonymous
  • anonymous
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.
anonymous
  • anonymous
then draw a straight line that pass through both of the dots. okay?
anonymous
  • anonymous
not sure how to plot 15/4
anonymous
  • anonymous
15/4 = 3 and 3/4. plot it in between 3 and 4 but close to 4 since the ratio is 3/4.
anonymous
  • anonymous
so it would be (0,3/4)?
anonymous
  • anonymous
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 :)
anonymous
  • anonymous
ok so i put a dot on (0,15) and between 3 and 4 what about the 2nd equation of x+5y=-12
anonymous
  • anonymous
you're right. now we proceed to the next line. try to rearrange it into general form, y=mx+c.
anonymous
  • anonymous
5y=mx+-12?
anonymous
  • anonymous
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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