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posledela
2 years ago
7

X+y+z=6 2×+4y+2z=2 -×+8y-3z=-63

Mathematics
1 answer:
fenix001 [56]2 years ago
3 0

Answer: x=5, y=-5, z=6

Step-by-step explanation:

x+y+z=6 -> 2x+2y+2z=12

subtract 2x+4y+2z=2 from this, and you get -2y=10 -> y=-5

So, x+z=11 and -x-3z=-23

x+z=11

-x-3z=23

---------

-2z=-12

z=-6

Meaning x=5.

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Travka [436]

Answer:

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5 0
3 years ago
If the perimeter of A rectangle is 70" in and the length is 11" in more than its width find the area of the rectangle
steposvetlana [31]
First, write an equation system based on the problem
An equation for "the perimeter of a rectangle is 70 in" can be written as following
∴ 2l + 2w = 70  <em>(first equation)</em>
An equation for "the length is 11 in more than its width" can be written as following
∴ l = w + 11 <em>(second equation)</em>

Second, solve the equation by substitution method o find the dimension of the rectangle.
Substitute/plug l as (w+11) into the first equation
2l + 2w = 70
2(w + 11) + 2w = 70
2w + 22 + 2w = 70
4w + 22 = 70
4w = 70 - 22
4w = 48
w = 48/4
w = 12
The width of the rectangle is 12 in

Substitute w with 12 to the second equation
l = w + 11
l = 12 + 11
l = 23
The length of the rectangle is 23 in

Third, find the area of the rectangle
a = l × w
a = 23 × 12
a = 276
The area of the rectangle is 276 in²
4 0
3 years ago
Write a subtraction sentence using integers. Then, write the equivalent addition sentence and explain how to find the sum
galben [10]
In integers subtraction and addition are almost same ....

Addition :in addition if both numbers have different signs ..i.e - and + then we would find the difference and put the greater number sign ...For eg:(-6) + 12 =6 ...
<span> if both are same ..i.e if both are either positive(+) or negative(-) then you add(or find the sum) and put the common sign ... For eg :+5+10 = +15 and (-5) + (-10) = (-5)]

Subtraction: in subtraction what you do is changing the sign of the second number ...and then depending upon the both signs follow the rules of addition ...
for eg: 6 - 4 ..it becomes 6 + (-4) ...so as they have different signs we can subtract them and put the greater number sign ...  
         i.e, 6 + (-4) = 2 ...

To find the sum follow these rules ......mentioned above ....
u can ask if you have any doubt ....
Hope it helps !!!








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5 0
3 years ago
What is the measure of the angle of x?
ruslelena [56]

x = 180° - 56° - 41° = 83°

3 0
3 years ago
Read 2 more answers
Can you help don’t understand
densk [106]
7^4 * 4^7




hope this helps
8 0
3 years ago
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