Given :
Two equations :
-8x + 3y = -17 ....1)
3x - y = 7 ....2)
To Find :
The solution of the system.
Solution :
Multiplying equation 2) by 3 and adding with equation 1), we get :
(-8x + 3y) + 3(3x - y) = -17 + 21
x = 4
Putting above value of x equation 2) we get :
12 - y = 7
y = 5
Therefore, solution of system is ( 4,5 ).
Answer:
36
Step-by-step explanation:
We need to find the LCM of the two numbers because we need to know the lowest number that 12 and 9 are both in.
12 × 1 = 12
12 × 2 = 24
12 × 3 = 36
12 × 4 = 48
9 × 1 = 9
9 × 2 = 18
9 × 3 = 27
9 × 4 = 36
We can see that 36 is the lowest number that occurs both in 12 and 9 so the blue and red light will both link at 36 seconds
It is not A. because 8 is not a prime number.
It is not B. because 12 is not a prime number.
C. 2 x 2 x 2 x 2 x 2 x 3 = 4*4*6= 96
D. 2 x 2 x 2 x 2 x 2 x 3 x 3= 4*4*6*3=16*18= 288
Answer is C. -2 x 2 x 2 x 2 x 2 x 3 : 96 ( not D. = 298 , 298 is greater than 96)
35.
6x=4x+16 (they are vertical angles
2x=16
x=8
4(8)+16+11y=180 (they form a straight angle together)
32+16+11y=180
48+11y=180
11y=132
y=12
36.
7x=56 (vertical angles are equivalent)
x=8
56+y+2(8)=180 (these three angles form a straight angle)
56+y+16=180
72+y=180
y=108
Hope this helps!
Answer:
A
Step-by-step explanation:
If Bob collected 6 times as many cans as Tom, you would write that as 6t because Bob's amount times Tom's amount will give you the amount Bob collected.
Hope this helps and mark brainliest please!