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dexar [7]
3 years ago
9

Find the solution to the system of equations!

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0
The answer to the system of equations is x = 3, y = -2 and z = 5. 

In order to find this you can use elimination to create two equations with only x and y. First we will add equation one with equation 2 multiplied by 2. 

-x + 2y + 2z = 3
6x + 2y - 2z = 4
---------------------
5x + 4y = 7

Then  we can add equation 2 with equation 3. 

3x + y - z = 2
2x + y + z = 9
------------------
5x + 2y = 11

Now we can use these two equations together to solve for y. It will be easiest if we multiply the second one by -1. 

5x + 4y = 7
-5x - 2y = -11
------------------
2y = -4

And then we can solve for y. 

2y = -4
y = -2

With that answer we can go back to any equation with just y and x and solve for x. 

5x + 4y = 7
5x + 4(-2) = 7
5x - 8 = 7
5x = 15
x = 3

Now we can use x and y in any equation to find z. 

2x + y + z = 9
2(3) + (-2) + z = 9
6 - 2 + z = 9
4 + z = 9
z = 5
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The sum of 42 and x is equal to 97.45. What's the equation for the sentence?!! Help!
gogolik [260]

Answer:

X = 97.45 - 42

Step-by-step explanation:

If 42 + X = 97.45, X needs to be 97.45 - 42

you can do the same thing with smaller numbers, for example:

5 + X = 7

7 - 5= 2 and you can check for sure that this is the answer by adding them together 5 + 2= 7 so it's definitely the right answer

so for this question, 97.45- 42 = 55.45 so that's X

you can check that by 55.45 + 42 and if the answer is 97.45 that's the right answer!

I hope that makes sense

8 0
3 years ago
What is the unit form using the largest unit possible for 4tens+6tens
Gre4nikov [31]
40 + 60 = 100

Hundrends place
4 0
4 years ago
Pls help me !! will mark brainliest... i just need you to solve for m<1 and m<7 !! thanks !!
frez [133]

Step-by-step explanation:

=( n-2)180

= ( 4 - 2 )180

= 360

So, 144 + 90 + m<2 +m<1 = 360

144 + 90 + 85 + m<1 = 360

319 + m<1 = 360

m<1 = 360 - 319

m<1 = 41

their is an unknown angle so let's call it x

let's find x first ( m<6=49)

x + m<6 = 180

x + 49 = 180

x = 180 - 49

x = 131

Now let's find m<7

m<7 + 38 + m<4 + x = 360

m<7 + 38 + 85 + 131 = 360

m<7 + 254 = 360

m<7 = 360 - 254

m< 7 = 106

8 0
3 years ago
Find the area of the circle.<br> Use 3.14 for it.<br> (<br> d = 8 cm<br> A = [?] cm2<br> A=Tr2
storchak [24]
What the make no sense but I believe it is 50.24 hope that helps
8 0
3 years ago
Simplify -|-5 + 2|.<br><br> A.-7<br> B.-3<br> C.3<br> D.7
larisa86 [58]

You're answer is (B).-3.

-|-5+2|

-5+2=-3

=|-3|

=|-3|

=-3

5 0
3 years ago
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