Answer:
4x^2
Step-by-step explanation:
The greatest common factor is the greatest number that can divide the terms. The greatest number that can divide each term is 4, and the greatest power of x that can divide each term is x^2. This is because it can't be any number greater than 4 since that number would never be able to divide into 4. This is also the reason why x^2 is the greatest power possible. It cannot be greater than anything divisible by itself. Thus, you multiply 4 by x^2 and the answer is 4x^2.
One way in which to approach this problem would be to treat it as an equation of ratios and to cross multiply:
<span>[(4x + 15) / 5x)] = 1/2 could be written as:
4x + 15 1
----------- = ---
5x 2
Then 8x + 30 = 5x
3x = -30, and so x = -10 (answer). Be certain to check this answer through substitution!
</span>
Answer:
x = 83/3.
Step-by-step explanation:
12x + 8 + 84 = 15х +9
Solving for x:
8 + 84 - 9 = 15x - 12x
83 = 3x
x = 83/3.
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
Answer:
yes
Step-by-step explanation:
I think you did the question correctly. good luck
