Question

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

Answer 1

inconsistent
x=21/2 y=-9/2

Answer 2

would you plz show your work so i can figure out the next one on my own

Answer 3

by graphing, you can find the point of intersection as the solution.

Answer 4

will you plz show me how you got this

Answer 5

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.

Answer 6

i dont understand what the answer is what numbers do i plot

Answer 7

plot the x-intercept and y-intercept that you obtained and draw a line pass through the points :)

Answer 8

what are they?
will you show your work

Answer 9

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.

Answer 10

then draw a straight line that pass through both of the dots. okay?

Answer 11

not sure how to plot 15/4

Answer 12

15/4 = 3 and 3/4.
plot it in between 3 and 4 but close to 4 since the ratio is 3/4.

Answer 13

so it would be (0,3/4)?

Answer 14

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 :)

Answer 15

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

Answer 16

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

Answer 17

5y=mx+-12?

Answer 18

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.