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kiruha [24]
3 years ago
8

Solve the simultaneous equations 3x-y=18 2x+y=7 answer x= y=

Mathematics
1 answer:
kumpel [21]3 years ago
3 0
3x -y= 18 (1)
2x +y = 7 (2)

Take (1)+ (2):
(3x+2x)+ (-y+y)= 18+7
⇒ 5x = 25
⇒ x= 25/5
⇒ x=5

Use (2) to find y:
2*5+y= 7
⇒ 10+y=7
⇒ (10-10)+y= 7-10
⇒ y = -3

Final answer:
x=5, y=-3.

Hope this helps~

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valina [46]
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Answer: 350-180=r

r=170
8 0
3 years ago
If it takes a spell checker 33 minutes per 15 pages how long does it take for 65 pages
Nataliya [291]
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Hope I helped :) 
7 0
3 years ago
Find the values of x and y​
alexandr1967 [171]

Hello from MrBillDoesMath!

Answer:

x = 5 * sqrt(2)

5 = y

Discussion:

First thing: the hypotenuse is the side opposite the right (90 degree) angle. So it is side x NOT side y as shown in your diagram.  

The triangle is a 45-45-90 triangle so

tan(45) = y/5            => as tan(45) = 1

1 = y/5                      => multiply both sides by 5

5 = y

If you don't care for the trig approach, since it's a 45-45-90 triangle the length of the legs are that same, i.e y = 5

Also sin(45) = y/x    => as y = 5

sin(45) = 5/x            => as sin(45) = sqrt(2)/2

sqrt(2)/2 = 5/x         => multiply bot sides by x

x* sqrt(2)/2 = 5/x * x = 5   =>

x* sqrt(2)/2 = 5         => divide both sides by sqrt(2)/2

x = 5 * (2/sqrt(2))

x = 5 * sqrt(2)

Or if you don't care for the trig approach, simply apply the Pythagorean theorem ( 5^2 + 5^2 = x^2) and solve for x

Thank you,

MrB

6 0
4 years ago
Uzanne can work 10 math problems in 15 minutes. How many can she work in an hour and a half?
jeyben [28]
1 and half hour
= 60 minutes+ 30 minutes
= 90 minutes

Now,

Uzanne need 15 minutes to do 10 problems
Uzanne need 1 minute to complete 10/15 problems

Uzanne need 90 minutes to do
= (10/15)*90
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4 0
4 years ago
A Square Tile has the area of 49 square inches what is the length of these tiles
Kruka [31]
Area = Length x Length 

Length = √49 = 7 inches

Answer: 7 inches
6 0
4 years ago
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