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romanna [79]
3 years ago
13

Use the elimination method to solve the system of equations. Choose the

Mathematics
2 answers:
MatroZZZ [7]3 years ago
6 0

Answer:

C

Step-by-step explanation:

7x + 3y = 30 (equation 1)

-2x + 3y = 3 (equation 2)

9x = 27 (subtract the two equations to eliminate y)

x = 3 (divide by 9)

7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)

21 + 3y = 30 (7 * 3 = 21)

3y = 9 (Subtract 21)

y = 3 (divide by 3)

Answer is (3, 3)

Nikitich [7]3 years ago
3 0

Answer:

(3,3)

Step-by-step explanation:

7x + 3y = 30

-2x + 3y= 3

Multiply the second equation by -1 and add together to eliminate y

7x + 3y = 30

2x - 3y= -3

---------------------

9x + 0y = 27

Divide by 9

9x/9 = 27/9

x = 3

Now find y

-2x+3y = 3

-2(3) +3y =3

-6 +3y = 3

Add 6 to each side

3y = 3+6

3y=9

Divide by 3

y = 3

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Answer:

D

Step-by-step explanation:

4 0
3 years ago
What are the values of x and y in the matrix equation below?
choli [55]

Answer : value of x and y in the matrix equation is:

x = -3

y = +4, -4

Step-by-step explanation :

The matrix expression is:

\left[\begin{array}{ccc}x+4\\y^2+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]

First we have to add left hand side matrix.

\left[\begin{array}{ccc}(x+4)+(-9x)\\(y^2+1)+(-17)\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]

Now we have to add left hand side terms.

\left[\begin{array}{ccc}x+4-9x\\y^2+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]

\left[\begin{array}{ccc}4-8x\\y^2-16\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]

Now we have to equating left hand side matrix to right hand matrix, we get:

\Rightarrow 4-8x=28\text{ and }y^2-16=0\\\\\Rightarrow 8x=4-28\text{ and }y^2=16\\\\\Rightarrow x=-3\text{ and }y=\pm 4

Therefore, the value of x and y in the matrix equation is -3 and +4, -4 respectively.

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3 years ago
Which comparison is false?
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C is false i think yea
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A traffic helicopter descends 102 meters to be 331 meters above the ground, as illustrated in the diagram to the right. Write an
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Answer:

  • h -102 = 331
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Step-by-step explanation:

Using the problem statement as the basis for the equation, we can write ...

  h -102 = 331

__

Using the diagram as the basis for the equation, we could write it as ...

  h = 331 +102

__

The original height of the helicopter was 433 m.

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3 years ago
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