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kirza4 [7]
3 years ago
13

Solve this system of equations: 3x-2y=2 5x-5y=10

Mathematics
1 answer:
Maurinko [17]3 years ago
3 0

Answer:

(- 2, - 4 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = 2 → (1)

5x - 5y = 10 → (2)

Multiply (1) by 5 and (2) by - 3, then add to eliminate x

15x - 10y = 10 → (3)

- 15x + 15y = - 30 → (4)

Add (3) and (4) term by term to eliminate x , that is

5y = - 20 ( divide both sides by 5 )

y = - 4

Substitute y = - 4 into either of the 2 equations and solve for x

Substituting into (1)

3x - 2(- 4) = 2

3x + 8 = 2 ( subtract 8 from both sides )

3x = - 6 ( divide both sides by 3 )

x = - 2

Solution is (- 2, - 4 )

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Thank you to whoever helps!
shepuryov [24]

Answer:

  • M
  • 90°

Step-by-step explanation:

The segment joining an original point with its rotated image forms a chord of the circle of rotation containing those two points. The center of the circle is the center of rotation.

This means you can find the center of rotation by considering the perpendicular bisectors of the segments joining points with their images. Here, the only proposed center that is anywhere near the perpendicular bisector of DE is point M.

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Segment AD is perpendicular to corresponding segment FE, so the angle of rotation is 90°. (We don't know which way (CW or CCW) unless we make an assumption about which is the original figure.)

4 0
3 years ago
Write a system of equations to describe the situation below, solve using elimination.
Sedbober [7]

Answer:

The cost of hardbook is $9 and cost of paperback is $5.

Step-by-step explanation:

Let x be the price for hardback book and y be the price for paperback book.

Mr. Yamamoto purchased 42 new hardcover books and 64 new paperback books, which cost a total of $698.

We can write the equation as:

42x + 64y = 698

He also purchased 42 new hardcover books and 58 new paperback books, which cost a total of $668.

We can write the equation as:

42x + 58y = 668

We have to use the elimination method to solve the two equations.

We eliminate x by subtracting the two equations.

42x + 64y-(42x + 58y) = 698 - 668\\\Rightarrow 6y = 30\\\Rightarrow y = 5\\42x + 64(5) = 698\\\\\Rightarrow x = \displaystyle\frac{698 - 64(5)}{42}\\\\\Rightarrow x = 9

Thus, the cost of hardbook is $9 and cost of paperback is $5.

8 0
3 years ago
7.238/1000 using power of ten rules
Sophie [7]

Answer: 69.38

Step-by-step explanation: Have a brilliant day-Lily ^-^

3 0
3 years ago
What is the Pythagorean Theorem used for? What is the formula
saveliy_v [14]
The Pythagorean Theorem states that a triangle's hypotenuse is equal to the square's of the other two sides of the triangle.

a² + b² = c<span>²
a = side of triangle
b = other side of triangle
c = hypotenuse (squared)

Find the square root to find the accurate length of the hypotenuse.</span>
5 0
3 years ago
Read 2 more answers
It is greater than 43 and less then 52 if you add the digits the sum is 8
Ksenya-84 [330]
44 is the answer 4+4=8
3 0
3 years ago
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