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Lisa [10]
4 years ago
11

Solve the system for x: 6x - 5y = 8 2x + 9y = 24

Mathematics
1 answer:
Gennadij [26K]4 years ago
8 0

Answer:

x = 3

Step-by-step explanation:

\left \{ {{6x-5y=8} \atop {2x+9y=24}} \right.

I'm going to use the method of elimination by multiplying the second equation by -3:

\left \{ {{6x-5y=8} \atop {-6x-27y=-72}} \right.

Then I can eliminate x:

-32y = -64

To solve for y, I'd simply divide:

y = 2

Because I now have y = 2, I'll just plug in 2:

6x - 5(2) = 8

6x - 10 = 8

6x = 18

x = 3

Hopefully I helped :)

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SUSTITUTION 3X-6Y=2<br> 5X+4Y=1
Montano1993 [528]
3x - 6y = 2
5x + 4y = 1

(-1/3, -1/6)

~Hope I helped!~



6 0
3 years ago
What is the APY of a savings account with an APR of 3.9742% compounded monthly? Answer to the four decimal place
Maurinko [17]

Answer:

The APY of the saving account is 4.0474%

Step-by-step explanation:

We know the formula for APY which is given by

APY=(1+\frac{r}{n} )^n-1

here, r= interset rate =  3.9742% = 0.039742

n = compounding cycles = 12

On plugging these values in the above formula, we get

APY=(1+\frac{0.039742}{12} )^{12}-1

On simplifying this we get

APY =0.04047395=4.0474%

6 0
4 years ago
Read 2 more answers
Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT
katrin2010 [14]
We know that
volume of a sphere=(4/3)*pi*r³------> volume of a tennis ball
for r=2.5/2-----> 1.25 in
volume of a sphere=(4/3)*pi*1.25³------> 8.18 in³
volume of 3 tennis ball=3*8.18-----> 24.54 in³

volume of a cylinder=pi*r²*h
r=1.25 in
h=2.5*3-----> 7.5 in
volume of a cylinder=pi*1.25²*7.5-----> 36.82 in³

<span>the volume of the space NOT occupied by the tennis balls=36.82-24.54
</span><span>the volume of the space NOT occupied by the tennis balls=12.28 in</span>³

the answer is
12.3 in³
8 0
3 years ago
The area of the parallelogram below is square meters. (4 points) 6 m 7 m 2 m​
Minchanka [31]

42 if the base is 6 and the 7 is height, while if the base is 7 and the 2 is height the answer is 12 , then , if the 2 is base and then the 6 is height the answer is 12 again

Step-by-step explanation:

thats all

4 0
2 years ago
Two expressions are shown below. Explain whether or not expressions P and Q are equivalent
bulgar [2K]

Answer:

I don't see any expressions shown below.

Step-by-step explanation:

8 0
3 years ago
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