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snow_tiger [21]
3 years ago
10

(4x-y=-15)(3x-2y=-10)​

Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

<h2>x = -4 and y = -1 → (-4, -1)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}4x-y=-15&\text{multiply both sides by (-2)}\\3x-2y=-10\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-8x+2y=30\\3x-2y=-10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-5x=20\qquad\text{divide both sides by (-5)}\\.\qquad\qquad\boxed{x=-4}\\\\\\\text{Put the value of x to the first equation.}\\\\4(-4)-y=-15\\-16-y=-15\qquad\text{add 16 to both sides}\\-y=1\qquad\text{change the signs}\\\boxed{y=-1}

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Bobby and Sue Ellan both ride their bikes to the library. Bobby’s home is 6.5 blocks from the library and Sue Ellan’s home is 1
Dovator [93]

Answer:

3.25 blocks

Step-by-step explanation:

6.5 * 1.5 = 9.75 blocks

9.75 - 6.5 = 3.25blocks

Farther 3.25 blocks sue ellan need to ride than Bobby ride

7 0
2 years ago
Please I need help on this question.
Juli2301 [7.4K]

Answer:

126mm

Step-by-step explanation:

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There are 4 circles = 18mmx4=72mm

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Hope this helps

3 0
3 years ago
Which describes the location of 2 /3 on the number line? A) between 1/3 and 2 5 B) between 2 /5 and 1 /2 C) between 1 /2 and 3 /
Bas_tet [7]

Answer:

2/3 lies between 1 and 2

Option C

5 0
3 years ago
Read 2 more answers
What is the simple interest earned on $7550 at a 3.9% interest rate for 6 years? Round your answer to the nearest cent.
Maslowich
I'm going to assume the rate, 3.9%, is for one year.

7550 * 3.9 * 6 = $176, 670 is the simple interest earned in 6 years with a rate of 3.9% per year.


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4 0
3 years ago
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notsponge [240]

9514 1404 393

Answer:

  1. reflection across the origin
  2. rotation 180° about the origin
  3. reflection across the x-axis, and translation right 6 units

Step-by-step explanation:

The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:

  1. reflection across the origin

  2. rotation 180° about the origin

  3. reflection across both x- and y-axes, in either order

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The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...

  4. reflection across the x-axis and translation 6 units right, in either order

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