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Yanka [14]
3 years ago
14

What is the first step in solving this system of equations by elimination?

Mathematics
1 answer:
noname [10]3 years ago
6 0

Answer:

B. Add the two equations.

Step-by-step explanation:

Lets solve our system of equations step-by-step

Step 1. Add the two equations

2x – 2y = 5 +

5x + 2y = 9

----------------

7x         = 14

Step 2. Solve for x in the resulting equation

7x = 14

x=\frac{14}{7}

x = 2

Step 3. Replace the value of x in any of the original equations

2x – 2y = 5

2(2) – 2y = 5

4 – 2y = 5

-2y = 5 - 4

-2y = 1

y=-\frac{1}{2}

We can conclude that the correct answer is: B. Add the two equations.

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What is the slope of the line that’s passes through the points (-3,5) and (1,7)
Blababa [14]

Answer:

3 / 4

Step-by-step explanation:

Slope: y2 -y1 / x2 - x1

y2 - y1: 7-5: 3

x2 - x1: 1 - (-3) = 1 + 3 = 4

3/ 4 is the slope

8 0
3 years ago
What value of c is the rational expression below equal to zero? x-4/x-6
RSB [31]

Answer: x=4

Steps: (I am assuming your question has a typo in it and by "c" you meant "x")

The rational expression equals zero

\frac{x-4}{x-6}=0

only when the numerator equals 0 (the denominator cannot ever be zero):

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3 years ago
Consider the ordered pairs (1,4), (-1,2), and (0,3). Which of the four equations below could have been used to generate these th
arlik [135]

Answer:

a. y = x + 3

Step-by-step explanation:

All three ordered pairs satisfy the first equation.

___

If you want to look into it a little further, you can notice that if you sort the ordered pairs by their x-values, you get ...

(-1, 2), (0, 3), (1, 4)

That is, the y-values increase (by 1) as the x-values increase (by 1).

All of the other answer choices have -1 as the coefficient for x, which means the y-values will decrease as x increases. None of these choices (b–d) is viable.

6 0
3 years ago
An office building has 8 stories above the ground level and 3 stories under the ground level. How many floors apart are the top
vichka [17]

Answer:

11 stories apart

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Anything above, is POSITIVE direction

Anything below, is NEGATIVE direction

8 stories are ABOVE, so that would be considered

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3 stores are BELOW, so that would be considered

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THe difference in height between them is:

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So, that is 11 stories apart (top and bottom)

8 0
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Which graph represents a proportional relationship?<br> (Screenshot below)
kobusy [5.1K]

Answer:

Graph D

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Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

6 0
3 years ago
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