Answer:
14. x=-2.5, y = -7
15. x=28 y = -20
Step-by-step explanation:
14. Let's solve this system by elimination. Multiply the first equation by -1.
-1*(4x-y)= -1*(- 3)
-4x +y = 3
Then add this to the second equation.
-4x+y = 3
6x-y= - 8
--------------
2x = -5
Divide each side by 2
x = -2.5
We still need to find y
-4x+y =3
-4(-2.5) + y =3
10 +y =3
Subtract 10 from each side.
y = 3-10
y = -7
15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with. I will elimiate the y variable. Multiply the first equation by 11
11(
5x+6y)= 11*20
55x+66y = 220
Multiply the second equation by -6
-6(9x+11y)=32*(-6)
-54x-66y = -192
Add the modified equations together.
55x+66y = 220
-54x-66y = -192
---------------------------
x = 28
We still need to solve for y
5x+6y = 20
5*28 + 6y =20
140 + 6y = 20
Subtract 140 from each side
6y = -120
Divide by 6
y = -20
Answer:
60
Step-by-step explanation:
Is because when you have two negative -- signs it became positive
19 + 41 = 60
Answer:
16 boxes
Step-by-step explanation:
160+50x=1000
Solve for the x and you'll get 16.8. Now, because you can't have a fraction of a box, and you can't go over the limit, the answer is 16 boxes.
(How to solve for x:
Get x by itself by subtracting 160 to both sides.
50x=1000-160
50x=840
Divide both sides by 50.
x=16.8)
Answer:
using the given points substitute it into the equation y=mx+c
therefore
y=4
m=-2/3
X=6
c=?
so we should c=intercept
Step-by-step explanation:
y=mx+c
4=-2/3(6)+c
4=-4+c
c=4+4=8
therefore equation of the graph is y=-2/3X+8
