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pav-90 [236]
2 years ago
6

What is the solution to the system of equations? y=2x-7 y=-x+5

Mathematics
1 answer:
exis [7]2 years ago
3 0

Answer:

(4, 1 )

Step-by-step explanation:

y = 2x - 7 → (1)

y = - x + 5 → (2)

substitute y = 2x - 7 into (2)

2x - 7 = - x + 5 ( add x to both sides )

3x - 7 = 5 ( add 7 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

substitute x = 4 into either of the 2 equations

substituting into (2)

y = - 4 + 5 = 1

solution is (4, 1 )

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(3) The difference between two numbers is 8. If the larger is
Alecsey [184]

Answer:

x= 62

y= 54

Step-by-step explanation:

Step one:

given data

let the numbers be x and y and the larger be x the smaller be y

The difference between two numbers is 8

x-y= 8-----------1

If the larger is  subtracted from three times the smaller, the difference is 100

3y-x=100------------2

from eqn 1, x= 8+y

put this in eqn 2

3y-(8+y)=100

3y-8-y=100

collect liker terms

3y-y-8=100

2y=108

y= 54

put y= 54 in eqn 1

x-y=8

x-54= 8

x= 8+54

x=62

5 0
3 years ago
What is the answer pls
Anon25 [30]

Answer:

7.375 ib.

Step-by-step explanation:

You just add it all together

3 0
3 years ago
The stock of Company A lost $4.17 throughout the day and ended at a value of
Anit [1.1K]

Answer:

4%

Step-by-step explanation:

After losing 4.17, it came down to 100.08, so the opening price was:

100.08 + 4.17 = 104.25

To find percentage decline, we find the ratio of the "change" (which is 4.17) divided by the opening (original) price, which is 104.25. Then we multiply that fraction by 100 to get our percentage decline.

So,

\frac{4.17}{104.25}*100=4

Thus, the

percentage decline = 4%

4 0
3 years ago
Find the area of the shape shown below.
oee [108]

Answer:

=6 units squared

Step-by-step explanation:

area=1/2h(a+b)

        =1/2×2(4+2)

        =6

7 0
4 years ago
I need to find measure of angle "u" m
garik1379 [7]

Answer:

30°

Step-by-step explanation:

TW UV

If an ARC subtends an angle in the circle (on the opposite side of the circumference), the measure of that angle will be HALF of the Arc. In other words, the Arc's measure will be DOUBLE of that angle.

The measure of the angle would be SAME if the angle subtended in the center of the circle, thought.

Now, looking at the image, we can see that:

Arc TW subtends Angle V and Angle U

*on the opposite side of the circumference*

So,

Angle V (measure given to be 30) is HALF of Arc TW, so

Arc TW = 2 * 30 = 60

So, Angle U is half of Arc TW

60/2 = 30

Hence,

<u>∠U = 30°</u>

7 0
4 years ago
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