Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
Step-by-step explanation:
Solve the following system by substitution.
2x – 3y = –2
4x + y = 24
The idea here is to solve one of the equations for one of the variables, and plug this into the other equation. It does not matter which equation or which variable you pick. There is no right or wrong choice; the answer will be the same, regardless. But — some choices may be better than others.
For instance, in this case, can you see that it would probably be simplest to solve the second equation for "y =", since there is already a y floating around loose in the middle there? I could solve the first equation for either variable, but I'd get fractions, and solving the second equation for x would also give me fractions. It wouldn't be "wrong" to make a different choice, but it would probably be more difficult. Being lazy, I'll solve the second equation for y:
4x + y = 24
y = –4x + 24
Now I'll plug this in ("substitute it") for "y" in the first equation, and solve for x:
2x – 3(–4x + 24) = –2
2x + 12x – 72 = –2
14x = 70
x = 5
Answer:
You would do this problem like a normal varible problem. x=10
Step-by-step explanation:
Since 9x is a right angle the inside would also be 9x
9x+4x+10+40=180
180 because that is how much a triangle equals
combine like terms
13x+50=180
subtract 50 from both sides
13x=130
divide by 13
x=10
<u>Hope this helps!</u>
Answer:
obtuse scalene
Step-by-step explanation:
The average value of the given function is .
According to the statement
we have given that the function f(x) and we have to find the average value of that function.
So, For this purpose, we know that the
The given function f(x) is
And now integrate this function with the limit 0 to a then
Now integrate this then
Then the value becomes according to the integration rules is:
Now put the limits then answer will become as output is:
Now solve this equation then
Now
This is the value which represent the average of the given function in the statement.
So, The average value of the given function is .
Learn more about integration here
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Answer: You can buy at most, 120 bagels.
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