Answer:
t = 0
Step-by-step explanation:
(7t - 2) - (-3t + 1) = -3(1 - 3t)
because you can not do anything inside the parantheses, you distribute. there aren't any numbers on the left side of the parantheses on the left side of the equation so we just imagine the number 1. on the right side of the equation, just distribute normally
[ 1(7t - 2) -1(-3t + 1) = -3(1 - 3t) ]
will be
7t - 2 + 3t - 1 = -3 + 9t
add like terms
10t - 3 = -3 + 9t
subtract 9t from both sides
t - 3 = -3
add 3 to both sides
t = 0
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:
(-8 , 3)
Step-by-step explanation:
(x1 , y1) (x2 , y2) = (-10 , -1) (-6 , 7)
, 
-6 is going to be my x1 and -10 my y1
7 is going to be my x2 and -1 my y2
(-8 , 3)
As 1/3 = 2/6 = 3/9 = 4/12
and 2/6 is greater than 1/6
3/9 is greater than 2/9
etc..
So
1/3 is greater than 1/6 ; 2/9 ; ...
Answer:
[-11/5,∞)
Step-by-step explanation:
1. Add 4 to both sides: 7x-4+4≥-15+2x+4
2. Simplify: 7x≥2x-11
3. Subtract 2x from both sides: 7x-2x≥2x-11-2x
4. Simplify: 5x≥-11
5. Divide both sides by 5: 5x/5≥-11/5
6. Simplify: -11/5
