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Klio2033 [76]
3 years ago
11

The following proof shows an equivalent system of equations created from another system of equations. Fill in the missing reason

in the proof.
Statements Reasons
2x + 2y = 14
-x + y = 5
Given
2x + 2y = 14
-2x + 2y = 10
A.Multiplication Property of Equality
B.Addition Property of Equality
C.Division Property of Equality
D.Subtraction Property of Equality
​
Mathematics
2 answers:
Nookie1986 [14]3 years ago
8 0

Answer:

<h2>A.Multiplication Property of Equality</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}2x+2y=14\\-x+y=5&\text{\underline{multiply both sides by 2}}\end{array}\right\\\\\boxed{\underline{+\left\{\begin{array}{ccc}2x+2y=14\\-2x+2y=10\end{array}\right}}\qquad\text{add both sides of the equations}\\.\qquad\qquad4y=24\qquad\text{divide both sides by 4}\\.\qquad\qquad y=6\\\\\text{put the value of y to the second equation:}\\\\-x+6=5\qquad\text{subtract 6 from both sides}\\-x=-1\qquad\text{change the signs}\\x=1

pantera1 [17]3 years ago
4 0

Answer: Its Multiplication property of Equality

Step-by-step explanation: Just did the test

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kkurt [141]
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3 years ago
In the year 1987, an investment was worth $29,800. In the year 1997, this
Veseljchak [2.6K]

Answer:

a) 46.98%

b) increasing rate of change

Step-by-step explanation:

In year 1987, investment worth $29800

In year 1997, investment worth $43800

Rate of change = 1997investment - 1987investment / 1987investment × 100

Rate of change = 43800 - 29800/29800 × 100

= 14000/29800 × 100

= 0.46979 × 100

= 46.98%

Therefore, the rate of change of the investment during the time period is 46.98%.

b) The rate of change of the investment is increasing. This is as a result of the following reasons. First, the value of rate of change is positive. Second, there is no value for rate of change for period before the time period so we cannot compare rate of change.

8 0
3 years ago
Yolanda has finished 45 percent of her homework and she has finished 27 problems. How many problems was Yolanda assigned
masya89 [10]
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So, Yolanda was assigned 60 problems.


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2 years ago
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Answer: x4

Step-by-step explanation:

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