Eliminate the x terms: Multiply the second equation by 2
-10x+12y=20
Add it to the first equation
10x-4y=-8
-10x+12y=20
——————-
0x+8y=12
y = 1.5
10x-4(1.5)=-8
10x = -2
x = -1/5
Answer with Step-by-step explanation:
We are given that height of projectile after t seconds is given by
a.h(t)=144 ft
t-3=0
t=3
After 3 s, the height of the project will be 144 feet in the air.
b.h(t)=0
At t=0, the initial position of projectile
At t=6 s , the projectile will hit the ground.
Answer:
x = 11
y = 2
n = 4
Step-by-step explanation:
Three equations
Look for x
Look for y
Look for n
__________________
Note that all of these are questions can be answered through isolating the variable.
Let's start with x :
Get x alone :
2(x + 5) = 3x + 1
Distribute :
(2(x) + 2(5))
2x + 10 = 3x - 1
Add 1 to both sides of the equation :
2x + 11 = 3x
Subtract 2x from both sides :
11 = x
x = 11
Next is y :
Isolate y :
3y - 4 = 6 - 2y
Add 4 to both sides :
3y = 10 - 2y
Add 2y to both sides :
5y = 10
Divide 5 from both sides to get y by itself :
y = 2
Lastly is n :
Isolate n :
3(n + 2) = 9(6 - n)
Distribute :
(3(n) + 3(2)) = (9(6) - 9(n))
3n + 6 = 54 - 9n
Subtract 54 from both sides :
3n - 48 = -9n
Subtract 3n from both sides :
-48 = -12n
-12n = -48
Divide -12 from both sides :
n = 4
Answer:
2 5/8 ounces of juice are left.
Step-by-step explanation:
6 3/8 - 3 6/8 =
- 51/8 - 30/8 (Converted into improper fractions.)
- 51/8 - 30/8 = 21/8
- 21/8 = 2 5/8 (Converted improper fraction into a mixed fraction.)
Try thinking about negative numbers~ :D
While this is true for positive integers, say, 5 + 6 =11...
would the sum of -15 and -1 be larger than any of the integers?
