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eduard
2 years ago
7

What is the solution of each system of equations? Show your work-6x-5y=64x+y=3

Mathematics
2 answers:
Marina CMI [18]2 years ago
8 0

Answer:

x=\frac{9}{157} \\y=-\frac{105}{157}

Step-by-step explanation:

-6x-5y=64x+y=3

-6x-5y=64x+y

-6x-64x=y+5y

-70x=6y

divide by 2

-35x=3y

y=-(35/3)x

y+64x=3

-(35/3)x+64x=3

-35x+192x=9

157x=9

x=9/157

y=-35/3x

y=-\frac{35}{3} \times\frac{9}{157} \\y=-\frac{105}{157}

elena55 [62]2 years ago
6 0

Answer:

-6y = 70x = 3

Step-by-step explanation:

-6x - 5y= 64x+ y=3

 ---------------------------  

       -y            - y

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

-6x -6y = 64x = 3

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

+6x        +6x

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

-6y = 70x = 3

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Are these two expressions equivalent?<br> 5(3+2) and 5.3 + 5.2
vovangra [49]

Answer:

No

Step-by-step explanation:

5(3+2) = 5(5) = 25

5.3 + 5.2 = 10.5

25 doesn't equal 10.5 therefore 5(3+2) isn't equivalent to 5.3 + 5.2

5 0
3 years ago
Convert 25/4 to a mixed number​
mylen [45]

Answer:

6 1/4

Step-by-step explanation:

First find a product of 4 which is the closest to 25, 4 x 6 = 24 then subtract the number from the product you just found, 25 - 24 = 1, so the answer is 6 1/4

4 0
3 years ago
Read 2 more answers
The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 101010 denarii per day to support 444
givi [52]

<u>the correct question is</u>

The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 10 denarii per day to support 4 legionaries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?

Let

x-------> the cost to support a legionary per day

y-------> the cost to support an archer per day

we know that

4x+4y=10 ---------> equation 1

2x+2y=5 ---------> equation 2

If you multiply equation 1 by 2

2*(2x+2y)=2*5-----------> 4x+4y=10

so

equation 1 and equation 2 are the same

The system has infinite solutions-------> Is a consistent dependent system

therefore

<u>the answer is</u>

We cannot solve for a unique cost for each soldier, because there are infinite solutions.

5 0
3 years ago
One zero of the polynomial function f(x) = x3 − 9x2 + 20x is x = 0. What are the zeros of the polynomial function? 0, −5, −4 0,
jeyben [28]

Answer:

Step-by-step explanation:

As x = 0 is a zero, (x + 0) is a factor.

Dividing the equation by (x + 0) leaves x² - 9x + 20.

Factoring this polynomial

x² - 9x + 20 = (x - 4)(x - 5)

x - 4 = 0

x = 4

x - 5 = 0

x = 5

The zeros are at 0, 4, and 5.

Which can be verified by using a plotting calculator.

3 0
2 years ago
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Helpppp meeeeeee asssapppp noooo rockyyyyyy
Mamont248 [21]

Answer:

12

Step-by-step explanation:

4y - 2x

= 4(7) - 2(8)

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4 0
3 years ago
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