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sergejj [24]
3 years ago
8

Find the solution of the system of equations. -9x - 5y = -18 4x + 5y = 33

Mathematics
2 answers:
Rus_ich [418]3 years ago
6 0

Answer:

x=-3, y=9. (-3, 9).

Step-by-step explanation:

-9x-5y=-18

4x+5y=33

---------------

-5x=15

x=15/-5

x=-3

4(-3)+5y=33

-12+5y=33

5y=33-(-12)

5y=33+12

5y=45

y=45/5

y=9

labwork [276]3 years ago
4 0

Answer:

-9x - 5y = -184x + 5y = 33

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Find an equation in rectangular coordinates for the cylindrical equation r = 2sintheta
frutty [35]

Answer:

x^2+(y-1)^2=1

Step-by-step explanation:

The given cylindrical equation is

r=2\sin \theta

Multiply both sides by r.

r^2=2r\sin \theta           .... (1)

The required formulas are

x=r\cos \theta,y=r\sin \theta,r^2=x^2+y^2

Substitute r\sin \theta =y,r^2=x^2+y^2 in equation (1).

x^2+y^2=2y

x^2+y^2-2y=0

Add 1 on both sides.

x^2+(y^2-2y+1)=1

(x-0)^2+(y-1)^2=1^2                    [\because (a-b)^2=a^2-2ab+b^2]

It is the equation of a circle centered at (0,1) with radius 1.

Therefore, the equation in rectangular coordinates is x^2+(y-1)^2=1.

3 0
4 years ago
can someone please tell me how to do 2x=3y and 4x-3y=12 using substitution to solve the system of equations.
maw [93]

Answer:

Step-by-step explanation:

you divide the two to the y, which is x=3/2y

then, you simplify the second equation to y, which is -3y= -4x+12

then, you substitute the x=3/2y into the second equation,

-3y = -6+12

-3y = 6

y = -2

Substitute the y into the first equation, x= 3/2y,

x = -3

5 0
3 years ago
Sylvia took three times in a video game she scored -120 points during her first turn 320 points in her second time and -80 point
sp2606 [1]
Her average score for the 3 turns is 40 because you have to add all of the scores so -80 and -120 is -200 so add that to 320 and you get 120 divide that by 3 because she took 3 turns and you get 40
3 0
3 years ago
10+5-7=3y<br><br> -10x+5x+5=-15<br><br> 3x+2x-4x+10<br><br> pre algebra 8th grade math
jasenka [17]

Answer:

1) y=8/3=2 2/3   2) x=4    3) x+10

Step-by-step explanation:

1) 10+5-7=3y

Calculate the sum or difference.

8=3y

Swap the sides of the equation.

3y=8

Divide both sides by 3.

y=8/3=2 2/3

2) -10x+5x+5=-15

Collect like terms.

-5x+5=-15

Move the constant to the right-hand side and change the sign.

-5x=-15-5

Calculate the difference.

-5x=-20

Divide both sides by -5.

x=4

3) 3x+2x-4x+10

Collect like terms.

(3+2-4)x+10

Calculate the sum or difference.

1x+10

When the term has a coefficient of 1, it doesn't have to be written.

x+10

Hope this helps :)

5 0
3 years ago
A rectangle is 3 feet longer than it is wide . if the perimeter is 30 feet , find the area in square feet .
noname [10]

Answer:

Hey

Step-by-step explanation:

I beleve you answer is 10 because 3 time 10 equals 30 and the question sais "3 times longer"

5 0
4 years ago
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