The Solution for the given system of equations is (-2) and 
.
The given are linear equations as follow:
y = 
+ 3 .. ... ...(1)
and x = -2. .. .... ...(2)
We already know the first part of the solution (x) which is -2. We can find the other part (y) by putting the value of equation (2) in equation (1).
By putting the values of x in equation (1), we get
y = 
+ 3
y = 
+ 3
Taking the L. C. M of denominators which will be '3', we get:
y = 
y = 
So the second part (y) of the solution of the given equation is .
Hence, the overall solution to the given system of equation is 
.
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Answer:
870,406
Step-by-step explanation:
Answer:
12.
Step-by-step explanation:
This equation seems to want you to use the Order of Operations, a.k.a PEMDAS (which stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). When you do a problem like this, you use the Order of Operations to figure out the order in which you'd solve your problem.
You would first solve what is in parentheses, since that is the first letter in PEMDAS. 18-6x2 is what we have in our parentheses, but it's too confusing to be solved yet. The next letter is E, a.k.a exponents, but there are no exponents in this equation, so we move on. Next is M, Multiplication. We would multiply 6 by 2, which gives us 12. Moving on, we have D, Division. We would do 36/6, which is 6.
Our 5th letter is A, Addition. We would have to add our 6 to (18-12), but that couldn't work, since our 18-12 is still in parentheses, and those come first. So, we would skip to the last letter, S, Subtraction. 18-12=6, and since we solved all the problems in the parentheses, we remove them, and add both 6's together, giving us 12.
Answer:
300 m/min
Step-by-step explanation:
Using the general formula of d = rt, where d = distance, r = rate and t = time, we can solve for the missing variable (r, or speed). Given Tara's distance of 1600 m and her total time of 5 minutes and 20 seconds, first convert her time into just minutes:
5 
5
1600 = r(16/3)
Multiply both sides by reciprocal of 16/3: 3/16(1600) = r(16/3)(3/16)
Solve for 'r': 300 meters per minute
Answer:
C. 16 : 22
Step-by-step explanation:
Given:
- Apple trees = 16
- Orange trees = 22
- Cherry trees = 1
Ratio of apples trees to orange trees:
⇒ apple : orange
⇒ 16 : 22
