NEED HELP ASAP QUESTION IN PHOTO
1 answer:
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Answer:
x = 24.
r 0.
Step-by-step explanation:
2. The given equation is:
a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.
b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.
c) We have the equation:
Multiplying throughout by 6, we get:
Therefore, the solution of the equation is 24.
3. The given equation is:
To solve for y:
We can rearrange the equation as:
or,
Note that we have to impose a condition on variable . It would be that
can never be zero. i.e.,
. Otherwise, the value of
would be undefined.
The equation 3y = x + 1 would graph a line parallel to 3y = x + 5 ⇒ 1st
Step-by-step explanation:
Parallel lines have same slopes and different y-intercepts
To find which equation would graph a line parallel to 3y = x + 5
1. Put the equation in the form of y = mx + c
2. m is the slope of the line and c is the y-intercept
3. Look for the equation which has the same values of m and different
values of c
∵ 3y = x + 5
- Divide each term of the equation by 3 to put the equation in the
form of y = mx + c
∴ y = x +
∴ m =
∴ c =
The first answer:
∵ 3y = x + 1
- Divide each term of the equation by 3
∴ y = x +
∴ m =
∴ c =
∵ The two equations have same slope m =
∵ The two equations have different y-intercepts c =
and c =
∴ 3y = x + 5 and 3y = x + 1 represent two parallel lines
The equation 3y = x + 1 would graph a line parallel to 3y = x + 5
Learn more:
You can learn more about slope of a line in brainly.com/question/12954015
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