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3 years ago

X-5y=33 5x-6y=70 solve the system by the addition method

Mathematics

1 answer:

BARSIC [14]3 years ago

7 0

For this case we have the following system of equations:

$x-5y = 33\\5x-6y = 70$

We multiply the first equation by -5:

$-5x + 25y = -165$

Thus, we have the equivalent system:

$-5x + 25y = -165\\5x-6y = 70$

We add the equations:

$-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5$

We find the value of the variable "x":

$x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8$

Thus, the solution of the system is:

$(x, y) :( 8, -5)$

Answer:

$(x, y) :( 8, -5)$

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a salesperson sells $2700 in merchandise and earns a commission of $351 what is the commission rate in percentages?

GaryK [48]

Answer:

Commision rate 13%

Explanation:

The commission rate is equal to the commission as a percent of sells.

Now in our case,

sells = $2700

commission = $351

Therefore, the commission rate is equal to

$undefined$

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1 year ago

I need help can y'all help please

BartSMP [9]

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3 years ago

Find the largest prime divisor of 76^2 − 1.

saveliy_v [14]

Answer:

Step-by-step explanation:

This is a difference of squares and therefore can be written as (76-1)(76+1)=(75)(77).

So lets look at the factors....

75=3(25)=3(5)(5)

77=7(11)

The biggest prime factor is therefore 11.

Identities used:

Difference of squares a^2-b^2=(a-b)(a+b)

3 0

3 years ago

Somebody please help me with my homework it do tomorrow!!!

xxTIMURxx [149]

The solution to given system of equations is (x, y) = (2, -1)

Solution:

Given system of equations are:

-1x + 2y = -4 -------- eqn 1

4x + 3y = 5 ------- eqn 2

We can solve the above system of equations by elimination method

Multiply eqn 1 by 4

4(-1x + 2y = -4)

-4x + 8y = -16 ------ eqn 3

Add eqn 2 and eqn 3

4x + 3y = 5

-4x + 8y = -16

( + ) --------------------

0x + 11y = -16 + 5

11y = -11

y = -1

Substitute y = -1 in eqn 1

-1x + 2(-1) = -4

-x -2 = -4

-x = -4 + 2

-x = -2

x = 2

Check the answer:

Substitute x = 2 and y = -1 in eqn 2

4x + 3y = 5

4(2) + 3(-1) = 5

8 - 3 = 5

5 = 5

Thus the obtained answer is correct

Thus the solution to given system of equations is (x, y) = (2, -1)

8 0

3 years ago

how many ways can Aileen choose 2 pizza toppings from a menu of 19 toppings if each topping can only be chosen one

alexdok [17]

Answer:

There are 342 different combinations.

Step-by-step explanation:

Ok, Aileen is choosing toppings for a pizza.

She can choose two.

There are 19 options that can be chosen once.

The first thing we need to do, is find all the "selections".

Here we have two selections:

Topping number 1

Topping number 2.

Now we need to find the number of options for each one of these selections:

Topping number 1: Here we have 19 options.

Topping number 2: Here we have 18 options (because one was already taken in the previous selection)

The total number of combinations is equal to the product between the numbers of options.

C = 19*18 = 342

There are 342 different combinations.

7 0

3 years ago