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a_sh-v [17]
3 years ago
10

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28. A table with 6 columns and 2 rows. T

he first column, Original System has 2 x minus 2 y equals 6 and 4 x plus 4 y equals 28. The second column, Equivalent System, has 4 x minus 4 y equals 12 and 4 x plus 4 y equals 28. The third column, Sum of equations in Equivalent System, has 8 x equals 40. The fourth column, Solution to System, is blank. The fifth column, New System Using Sum, has 4 x plus 4 y equals 28 and 8 x equals 40. The sixth column, Solution to New System is blank. Which solution can be used to fill in both blanks in the table? (2, 5) (5, 2) (5, −8) (−8, 5)
Mathematics
2 answers:
Ulleksa [173]3 years ago
9 0

Answer:

answer is B

Step-by-step explanation:

Alexus [3.1K]3 years ago
8 0

The solution is (5,2)

Step-by-step explanation:

From the third column the equation for sum of equivalent system is given as;

8x = 40

divide both sides by 8 to get value of x

8x/8 = 40/8

x=5

Using the value of x in the fifth column's first equation will be;

4x +4y =28

4(5) + 4y =28

20 +4y =28

4y= 28-20

4y=8

divide both sides by 4 to get y

4y/4 =8/4

y=2

The solution is x=5 and y=2 written as (5,2)

Learn More

Solving simultaneous equations : brainly.com/question/12647791

Keywords: table, solution, column, original system

#LearnwithBrainly

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4 0
3 years ago
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In the given diagram, which of the following can you use to prove that triangle ABC is an isosceles triangle?
docker41 [41]
The answer is D) I just went over this.
6 0
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Please help me its hard!
asambeis [7]

Answer:

1200

Step-by-step explanation:

Find the width and the height show in the picture then use the formula Area = length X height

The width is 40 and the height is 30. Therefore Multiply it together and get 1200

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7 0
3 years ago
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The median of a set of three numbers is x. there at least three numbers in the set. Write an algebraic expression, in terms of x
LUCKY_DIMON [66]
<span>The median of a set of three numbers is x. there at least three numbers in the set. Write an algebraic expression, in terms of x, to represent the median of the new set of numbers obtained by
a] </span><span>adding 1/8 to every number in the set
Let the numbers be w,x,y
adding 1/8 to the number we get:
(w+1/8),(x+1/8),(y+1/8)
the new median will be:
(x+1/8)

</span><span>b. subtracting 9 1/4 from every number in the set
Given our data set is w,x,y
adding 9 1/4 to each number we get:
(w+9 1/4),(x+9 1/4), (y+9 1/4)
thus the new median is:
(x+9 1/4)

c]</span><span>multiplying -5.8 to every number in the set and then adding 3 to the resulting numbers
Multiplying each number by -5.8 we get:
(-5.8w),(-5.8x),(-5.8y)
adding 3 to these numbers we get:
(-5.8w+3),(-5.8x+3),(-5.8y+3)
thus the new median is:
(-5.8x+3)

d]</span><span>dividing every number in the set by 0.5 and then subtracting 1 from the resulting numbers
dividing each number in our set by 0.5 we get:
(w/0.5),(x/0.5),(y/0.5)
this will give us:
(2w),(2x),(2y)
then subtracting 1 from the above we get:
(2w-1),(2x-1),(2y-1)
thus the median will be:
(2x-1)

</span><span>e. adding 7.2 to the greatest number in the set
from our set:
w.x.y
the greatest number is y, then adding 7.2 to the greatest numbers gives us:
y+7.2
thus new series is:
w,x,y+7.2
thus the median is:
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</span>Conclusion
The median doesn't change<span>

</span><span>f. subtracting 4.2 from the least number in the set
</span>from our set w,x,y; subtracting 4.2 from the least number gives us:
w-4.2
the new set is:
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X (a + 2) = 7

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Now, both elements of the left-hand side of the equation contain x, so we can divide both sides of the equation by x.

xa + 2x = 7
    a + 2 = 7/x

To find a now, just subtract 2 from both sides.
a = 7/x - 2
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