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Anarel [89]
3 years ago
11

Sole the following system of equations 8x-3y=13 -3x-8y=-14

Mathematics
1 answer:
user100 [1]3 years ago
8 0

The system reads:

8x-3y=13

-3x-8y=-14


Solve this by solving for one variable at a time by cancelling the other.  We will begin by solving for y and cancelling x.  To do this, you need to find the least common multiple (LCM) of the x variables and multiply both equations by the number which will make them equal the LCM.  For 8 and 3, the LCM is 24, so you will multiply the top equation by 3 and the bottom one by 8.  

<em>*****In order for the variables to cancel, the signs need to be opposite.  In this system, one is already positive and the other negative; if this were not the case, one of the equations would have needed to be multiplied by a negative number.*****</em>

The system becomes:

24x-9y=39

-24x-24y=42

Now, you can combine the equations by adding them:

-33y=81

Solve for y:

<em>*Divide both sides by -33*</em>

y=27/11


To find x, you can select one of the given equations, plug in 27/11 for y, and solve for x.  We'll use the first equation:

8x-3(27/11)=13

8x-81/11=13

<em>*Add 81/11 to both sides*</em>

8x=224/11

<em>*Divide both sides by 8*</em>

x=28/11


Hope this helps!!

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4 0
2 years ago
A company donates 2,292 gifts to a school. the gifts are diveded evenly among 19 classrooms. The rest of the gifts are given to
BARSIC [14]

Answer:

<em>Each classroom received 120 gifts and the hospital received 12 gifts</em>

Step-by-step explanation:

<u>Division As Evenly Distribution</u>

The first concept we manage when learning about divisions is how to distribute an amount N among m elements such as everyone receives the same amount.

If the nature of the problem allows distributing decimal portions of N, then every receiver gets exactly the same amount N/m.

But things are different when the division must be an integer number. For example, if we wanted to divide gifts, we cannot give partial gifts. So the correct division is a matter of the study of integer numbers.

If N is divisible by m, i.e. there is no remainder in the division, then each element will receive N/m gifts. But what if they are not divisible? We must divide and take the integer part of the division and discard the remainder

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Answer. Each classroom received 120 gifts and the hospital received 12 gifts

6 0
3 years ago
HELP ASAP!!!.
Arte-miy333 [17]

Answer:

$54

Step-by-step explanation:

Since its $0.24 per 1 square inch, you would multiply 0.24 by the total amount of square inches. When we do this, we get 54 as our answer.\

 Hope this helps!

3 0
2 years ago
Who can help and explain these 2 questions
Dominik [7]
Coefficients are added together because they are like terms, this can be proven with the distributive property. For example, x(2x+x)=2x^2+x^2=3x^2.

The commutative property of addition and the associative property demonstrate this.

The word "commutative" comes from "commute" or "move around", so the Commutative Property<span> is the one that refers to moving values around.
</span>
The associative property<span> states that you can add or multiply regardless of how the numbers are grouped. </span>
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3 years ago
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Answer:

d is 3

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Step-by-step explanation:

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4 0
2 years ago
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