<u>Option C is correct </u><u>(y + z = 6) ⋅ −3</u>
What is a linear equation in math?
- A linear equation only has one or two variables.
- No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
- When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.
As per the statement -
A student is trying to solve the system of two equations given below:
Equation P: y + z = 6 ....[1]
Equation Q: 3y + 4z = 1 ....[2]
Multiply the equation [1] by -3 to both sides we have;
-3 .( y + z = 6 ) ⇒ -3y -3z = -18..........(3)
Add equation [2] and [3] to eliminate the y-term;
z = -17
Therefore, the possible step used in eliminating the y-term is, (y + z = 6) ⋅ −3
Learn more about linear equation
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<u>The complete question is -</u>
A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 3y + 4z = 1 Which of these is a possible step used in eliminating the y-term?
(y + z = 6) ⋅ 4
(3y + 4z = 1) ⋅ 4
(y + z = 6) ⋅ −3
(3y + 4z = 1) ⋅ 3
Answer:
b
Step-by-step explanation:
Answer: No, the ratios 11/15 and 1/6 do not form a proportion.
Explanation: Proportion says that two ratios (or fractions) are equal.
Example:
Proportion 1/3 : 2/6
So 1-out-of-3 is equal to 2-out-of-6
The ratios are the same, so they are in proportion.
If I multiplied 1 by 11 and then 6 by 11, I would get 11/66, therefore 11/15 and 1/6 do not form a proportion.
First, you need to find the amount of rate of change/slope of this equation of minutes, which is 2/3 of a ton.
We will then multiply 2/3 by 60, because we need to find how much in an hour. (60 minutes = 1 hour)
2/3 x 60 = 40
We will then multiply 40 by 24, because we need to find approximately what rate the recycling plant processes glass in a full day. (24 hours = 1 day)
40 x 24 = 960
We now have our answer:
The recycling plant processes 960 tons of glass in a whole day.
Hope this helps! :)
