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Afina-wow [57]
3 years ago
7

Can someone solve these simultaneous equations and explain the way to do this easily:

Mathematics
1 answer:
N76 [4]3 years ago
8 0
The easiest way to solve this system of equations is by elimination. Both equations have a 3x term, so we can basically subtract the equations to cancel the 3x. Then we will be left with a single variable to solve for.

(3x + y = -4)
-(3x -4y = 6)

Distribute the negative:

(3x + y = -4)
(-3x + 4y = -6)

Now add the equations together term by term:

0x + 5y = -10

5y = -10

y = -2

Plug y = -2 into either equation to find x.

3x + (-2) = -4

3x = -2

x = -2/3

So the answer as an ordered pair is (-2/3, -2)



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Please answer the attached question by selecting of the the given answers.
Alchen [17]

Answer:

The correct answer is option A. Base = 11 cm and height = 13 cm

Step-by-step explanation:

It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²

<u>To find the base an d height of original triangle</u>

Let x be the original base 'b' then the height  h = x + 2

New height h = x + 2 + 2 = x + 4

Area = bh/2

82.5= (x(x + 4)/2

165 = x² + 4x

x + 4x - 165 = 0

Solving we get x = 11 and x = -15

Take positive value x = 11

Therefore base = 11 and height = x + 2 = 13 cm

The correct answer is option A. Base = 11 cm and height = 13 cm

5 0
3 years ago
The Math Club is selling shirts to raise money for a Pi Day Convention. Short sleeve shirts are $5 and long sleeved shirts are $
Sladkaya [172]
<h2>Answer:</h2>

# short sleeved shirts sold  is 50

# long sleeved shirts sold 35

<h2>Step-by-step explanation:</h2>

First, you need to set up the equation.

(5x)+10*(85-x)=600

5x+850-10x=600

-5x+850=600

-5x=600-850

-5x=-250

x=50


After you solve the equation, you know, that 50 short sleeve t-shirts were sold. Now, you need to find out how many long sleeved t-shirts were sold. 85-50=35. Now you know, that there were 35 long sleeved t-shirt sold.

You can now check your answers. 50*5 + 35*10=600

That is correct.

I hoped I helped you. I will be really glad, if you mark my answer with brainliest.

3 0
3 years ago
twice the difference between a number and 10 is equal to 6 times the number plus 14. what is the number?
laiz [17]
Let the number be n.  Then 2(n-10) = 6n + 14.

Multiplying out the left side, 2n - 20 = 6n + 14.  Thus, -34=4n, and n = -17/2.
4 0
3 years ago
a group of five people go out to eat and buy appetizers and main dishes they decide to split the bill so each person pays 20% of
alexandr1967 [171]
5 people x $5 appetizers = $25
5 people x $10 main dish = $50
Total cost for the group of 5 = $75

$75 - 20% (.2) = $15 each person has to pay

Check ur work
$15 x 5 = $75



3 0
3 years ago
Exit
Zarrin [17]

Answer:

one third :) ;) hope it helps

5 0
3 years ago
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