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2 years ago

Determine whether the system of equations has one solution, no solution, or infinitely many solutions. 4x=10+4y and 2x-2y=15

Mathematics

1 answer:

galben [10]2 years ago

6 0

Answer:

infinitely many solutions

Step-by-step explanation:

Given the simultaneous equation

4x=10+4y... 1

2x-2y=15 .... 2

_____________

4x-4y = 10 * 1

2x-2y = 15 * 2

__________--

4x-4y = 10

4x-4y = 30

Add both equation

8x - 8y = 10+30

8x-8y = 40

Divide though by 8

x-y = 5

x = 5 + y

Since the result gave 1 equation and 2 unknowns, then we will let x =k

k = 5 + y

y = k -5

k can be any integer

(x,y) = (k, k-5)

This show that the equation has infinitely many solutions

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2 years ago

With _______ insurance, the insured agrees to pay a specific premium each year until death.

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3 years ago

Read 2 more answers

An oil tank in the shape of a cylinder has a diameter of 40 feet and a height of 32 feet. Which expression can be used to find t

Volgvan

The volume of a cylinder is pi*r^2*h

The radius is half the diameter, so 40/2=20, and the radius is 20 ft.

Plugging in: pi*20^2*32=pi*400*32=12800pi=40212.38597

So the volume is about 40212.4 ft^3 and the expression we used is pi*20^2*32

Hope this helped!

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3 years ago

|x-5|=3 Whats x? please help?

finlep [7]

Answer:

x = 8 or x = 2

Step-by-step explanation:

We know x - 5 = 3 or x - 5 = -3.

Possibility 1:

Step 1: Add 5 to both sides.

$x-5+5=3+5$
$x=8$

Possibility 2:

Step 1: Add 5 to both sides.

$x-5+5=-3+5$
$x=2$

Step 2: Check if both solutions apply to original equation.

$|8-5|=3$
$|3|=3$
$3=3$
$|2-5|=3$
$|-3|=3$
$3=3$

3 0

2 years ago

Read 2 more answers

Caitlin has cut out a square piece of graph paper that contains a total of 81 blocks.How many blocks are there along one side of

FinnZ [79.3K]

Answer:

9 squares on each side of the square.

Step-by-step explanation:

$\sqrt{81}=\sqrt{9\times 9}=\sqrt{9^2}=9$

There are 9 equally sized blocks on one side of square piece of graph paper.

Best Regards!

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2 years ago