The equation would have infinite solutions.
First, distribute on both sides, and you get 12x - 6 = 12x - 6.
There are two ways to do this from here. first is: you add six to both sides and they'll cancel out, and you'll have 12x = 12x. Then you divide by 12 on both sides and get x = x. When the two sides equal the same thing, there are infinite solutions.
Or, we can do the easy way. As you can see, 12x-6 = 12x-6. Both the sides are clearly the same, so we actually don't need to do the rest.
ANSWER: infinite solutions
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The solution of the given system of equation is x = -3 and y = 4 respectively.
<h3>What is a system of linear equations?</h3>
A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
The given system of equations is as,
y = 4x + 16 (1)
y = −2x − 2 (2)
In order to solve them, substitute equation (2) into (1) as follows,
4x + 16 = −2x − 2
=> 4x + 2x = -2 - 16
=> 6x = -18
=> x = -3
Then, y = -2 × -3 - 2 = 4
Hence, the solution of the given system of equation is x = -3 and y = 4.
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Essentially this is asking you to sum the first three values of the geometric series that starts with i being 1 and has the rule of ().
Since we must sum the first <em>three </em>geometric values we need to see what the value of i will be for the first three. The sigma notation shows us that the first i will be equal to 1. This means the second i is 2 and the third i is 3.
Knowing this you can plug in the corresponding i values into () and sum it all together
() + () + ()
() + () + ()
() + () + ()
(8) + (2) + ()
10 +
10.5
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Answer:
15 questions he missed
Step-by-step explanation:
Answer:
w = 49 ft and l = 84ft
Step-by-step explanation:
P = 266
The formula for perimeter = 2(l+w)
We know the length is 35 more than the width
l = w+35
Substituting in for Perimeter
266 =2(l+w)
Now replacing l with w+35
266 =2(w+35+w)
Combine like terms
266 = 2(2w+35)
Divide each side by 2
266/2 = 2/2 (2w+35)
133 = 2w+35
Subtract 35 from each side
133-35 = 2w+35-35
98 = 2w
Divide by 2
98/2 = 2w/2
49 =w
We still need to find l
l = w +35
l = 49+35
l = 84