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Bingel [31]
3 years ago
13

Solve the system of equations.

Mathematics
1 answer:
morpeh [17]3 years ago
3 0

Answer:

y=3,x=1.3,z=6.2 :)

Step-by-step explanation:

y=3,x=1.3,z=6.2 :)

So, we have:

   : x+y+z=10 [equation 1]

   : 5x+3y=14  [equation 2]

   : x−2y+z=2.5 [equation3]

(I'm going to assume that you know how to solve equations with 2 variables)

1. eliminate a variable to get 2 variables

Let's reverse equation 2:

-x+2y-z= -2.5

and take equation 1, to try to eliminate "z"

x+y+z=10

add up the 2 equations to get:

3y=7.5

and solve to get

y=2.5

2. substitute what we already solved into another equation

Luckily, equation 2 only has 2 variables, and one is y, so we can sub it in.

5x+3y=14 --> 3x+3(7.5)=14

solve to get

x=1.3

3. Substitute both of our variables in to get the final variable: z

Let's take the first equation.

x+y+z=10 --> 1.3+2.5+z=10

solve to get

z=6.2

I hope this helps you!

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Help me please I need the help
serious [3.7K]

Answer:

p - 3

Step-by-step explanation:

Key expression: 3 fewer than

Fewer than = subtract from

subtract 3 from a number, p

This means that the expression would be p - 3

Because you are subtracting 3 from a number ( p )

5 0
2 years ago
-5x+7+2x-13<9 Please Explain
olganol [36]
Ok the answer is -5 less than 9 which is true lol


Anyways here’s how I got the answer

-5+7+2x-13 less than 9

Combine like terms in this case it’s -5 and 2, and the other is 7 and -13

-5+2= -3
7-13= -6

Ok now that that’s done here’s the next step

-3x-6 less than 9 solve it


-3x-6 < 9
+6< +6

-3x < 15



Now from there you divide then so
-3x/3 cancels out, and 15/-3 = -5
X=-5

And so -5<9 :) hope this helped!! I will also include a picture of my work (please exult messiness lol)

8 0
3 years ago
If an arrow is shot upward on Mars with a speed of 68 m/s, its height in meters t seconds later is given by
Talja [164]

Answer:

(a) dy/dt = 68 - 3.72t

(b) 64.28m/s

Step-by-step explanation:

Given y = 68t - 1.86t²

Average Speed is rate of chance of distance with respect to time. Written as dy/dt

To obtain dy/dt, we differentiate y with respect to t, doing that, we have

dy/dt = 68 - 2(1.86)t

= 68 - 3.72t

(a) dy/dt = 68 - 3.72t

(b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt .

dy/dt at t = 1 is

68 - 3.72(1)

= 68 - 3.72

= 64.28

The speed at t = 1 is 64.28m/s

6 0
3 years ago
To the nearest tenth of a cent, find the cost per ounce of a 15 oz. box of cereal costing $2.49.
Molodets [167]
Answer: $2.50

for rounding to the tenths, look at the hundredths place and if it is more than 5 round up :)
6 0
3 years ago
Sketch the graph of each line
sveta [45]
Use Desmos it helps you with questions like that

3 0
2 years ago
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