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3 years ago

2x + y - z = 15 4x - 3y + 7z = -11 X + y + z = 2 solve the system of equations

Mathematics

1 answer:

Anika [276]3 years ago

3 0

Answer:

The given system of equations is :

2x + 3y + 5z = 1 -> eq. (1)

3x + 2y + z = 5 -> eq. (2)

Multiplying eq. (1) with 3 and eq. (2) with 2, we get :

6x + 9y + 15z = 3 -> eq. (3)

and, 6x + 4y + 2z = 10 -> eq. (4)

respectively.

Subtracting eq. (4) from eq. (3) :

5y + 13z = -7 -> eq. (5)

Multiplying eq. (1) with 2 and eq. (2) with 3, we get :

4x + 6y + 10z = 2 -> eq. (6)

and, 9x + 6y + 3z = 15 -> eq. (7)

respectively.

Subtracting eq. (7) from eq. (6) :

-5x + 7z = -13 -> eq. (8)

Let z = t, where t is a parameter.

We can write eq. (5) and eq. (8) as :

5y + 13t = -7 & -5x + 7t = -13

i.e., 5y = -7 - 13t & 5x = 13 + 7t

y = -(7/5) - (13t/5) & x = (13/5) + (7t/5)

Therefore, the solution for the given system of equations is :

x = (13/5) + (7t/5)

y = -(7/5) - (13t/5)

z = t

where, t can take any value.

Step-by-step explanation:

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2 years ago

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3)

Do the same thing for this one and set them equal to each other

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4 0

2 years ago

muminat

Answer:

y = 3x + 3

Step-by-step explanation:

when you check, only that equation delivers the correct x and y pairs.

x = 0, => y = 3×0 + 3 = 3

x = 1, y = 3×1 + 3 = 3+3 = 6

x = 2, y = 3×2 + 3 = 6 + 3 = 9

x = 3, y = 3×3 + 3 = 9 + 3 = 12

it all fits.

6 0

2 years ago

At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also

oksano4ka [1.4K]

Answer: Yes, Number of students who study French is greater than number of students who study Japanese.

Step-by-step explanation:

Since we have given that

Number of high school students study Japanese ≥ 100

Percent of high school students who study French also study Japanese = 4%

If the Percent of the students who Japanese also study French = 10%

So, our equation becomes

$0.04\times F=0.10\times J\\\\\dfrac{F}{J}=\dfrac{0.10}{0.04}=\dfrac{10}{4}$

With the help of ratio, we get that

Number of students who study French is greater than number of students who study Japanese.

Hence, Yes, Number of students who study French is greater than number of students who study Japanese.

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3 years ago

Study the exercises in which both addends are negative. What do you notice about the sum?

Sav [38]

This question would be a lot better if you had actually included the exercises. When a question talks about other questions that you already did, you need to include those too. Otherwise we don't know what the question is talking about. Fortunately I was able to figure it out without seeing the exercises, but just for future reference, you should include that extra information.

When two addends(things you add together) are negative, adding them is a lot like adding positive numbers; you just have a negative sign on the sum. For example,
4 + 5 = 9
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3 years ago