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Mandarinka [93]
3 years ago
15

Maria wants to solve the following system using the elimination method: 4x + 9y = 59 x + y = 17 What number should the equation

x + y = 17 be multiplied by to eliminate y? 4 −4 9 −9
Mathematics
2 answers:
Archy [21]3 years ago
7 0
\left\{\begin{array}{ccc}4x+9y=59\\x+y=17&|multiply\ both\ sides\ by\ (-9)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}4x+9y=59\\-9x-9y=-153\end{array}\right}\\.\ \ \ -5x=-94
lesya [120]3 years ago
5 0

Answer:

we will multiply equation x+y=17 by (-9)

Step-by-step explanation:

Maria has two equations to solve by elimination method:

4x + 9y = 59 ---- (1)

x +y = 17 ----------(2)

To start with elimination method we will multiply equation (2) by (-9) first,

-9x - 9y = -153  -------(3)

Now we will add equation (1) to equation (3)

4x + 9y = 59

<u>-9x - 9y = -153</u>

-5x  = -94

5x = 94

x = 94/5

By putting x = 94/5 in equation (2)

\frac{94}{5}+ y = 17

y = 17 - \frac{94}{5} = \frac{85-94}{5}

= (\frac{-9}{5})

Answer :  we will multiply equation x+y=17 by (-9)

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The Malcolms are taking a trip. Midville is 214 miles
Juliette [100K]

Answer:

642 miles

Step-by-step explanation:

Distance of Midville from their home = 214 miles

Walesburg is 3 times as far.

How far is Walesburg from their home?

Distance of Walesburg from their home = 3 × Distance of Midville from their home

= 3 × 214 miles

= 642 miles

Distance of Walesburg from their home = 642 miles

8 0
3 years ago
What is the average rate of change of the function f(x) = 5x ^ 2 + 20x between x = 0 and x = 0.5
Vitek1552 [10]

9514 1404 393

Answer:

  22.5

Step-by-step explanation:

The average rate of change on the interval [a, b] is the ratio ...

  (f(b) -f(x))/(b -a)

For your function and interval, it is ...

  (f(0.5) -f(0))/(0.5 -0)

Since f(0) = 0, this reduces to ...

  average rate of change = 2·f(0.5) = 2(5(0.5)² +20(0.5)) = 2(5/4 +10)

  average rate of change = 22.5

8 0
3 years ago
8k - 6 = 10k + 6<br> dress<br> Rhfhdhfjfjff
SashulF [63]

Answer:

-6 I meant

Step-by-step explanation:

5 0
2 years ago
Please help me!
yan [13]

Answer:

80

Step-by-step explanation:

<u><em>A = Area of First Rectangle </em></u>

<u><em>B = Area of Second Rectangle </em></u>

<u><em>w = Width</em></u>

<u></u>

12(w)=320+B (1st Equation)

8(w) = B (2nd Equation)

w=B/8 <em><u>(Plug this value of w into the first equation)</u></em>

12B/8 = 320 +B <u><em>(you get this)</em></u>

12B= 2560 + 8B <u><em>(Simplify)</em></u>

4B = 2560

B =640 <em><u>plug this value into the 2nd equation</u></em>

8(w) = 640

w = 80

<em>To Test This</em>

12x80 = 960

8x80 = 640

<h3>960 - 640 = 320 <u><em>Therefore the answer is correct the width is 80</em></u></h3>

<h3 />
5 0
2 years ago
Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall
miskamm [114]

Answer:

4 inches.

Step-by-step explanation:

The height of a rectangle is reduced by Shawna to a size of 2 inches.

The original width of the rectangle was 24 inches and the height was 12 inches.

If the ratio of width to height remains the same, then we can find the new width.

If the new width is x inches then, we can write

\frac{x}{2} = \frac{24}{12}

⇒ x = 4 inches. (Answer)

7 0
2 years ago
Read 2 more answers
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