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yanalaym [24]
3 years ago
13

Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

\left[\begin{array}{ccc}3&-5  &|12\\4&-2  &|15\\\end{array}\right]

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

  • a column for the values of x in each equation
  • a column for the values of y in each equation
  • a column for the independent values of each equation

since our system of equations is:

3x-5y=12\\ 4x-2y=15

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right]

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right]

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right]

usually there is a line separating the columns for the values of x and y, and the independent values:

\left[\begin{array}{ccc}3&-5  &|12\\4&-2  &|15\\\end{array}\right]

this is the matrix of the system of equations

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Answer:

y=2.6

Step-by-step explanation:

y/4=1.3/2

cross product

4*1.3=y*2

5.2=2y

y=5.2/2

y=2.6

7 0
3 years ago
Please tell me what the area formula and circumference formula is for a circle?
Whitepunk [10]
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I hope this helps!
5 0
3 years ago
If EF bisects CD, CG =5x-1, GD = 7x-13, EF = 6x-4, and GF =13, find EG
VARVARA [1.3K]

<em>Greetings from Brasil....</em>

As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD

5X - 1 = 7X - 13

X = 6

EF = EG + GF

6X - 4 = EG + 13      x = 6, so

6·6 - 4 = EG + 13

<h2>EG = 19</h2>

<em>(see attachment)</em>

6 0
3 years ago
Substitution property of equality if y=-5 and 7x+y=11, then____. A. 7(-5) + y=11 B.7x-5=11 C.7x+5=11 D.-5+y=11
jolli1 [7]
7x+y=11 where y= -5                                                                                              So, when we substitute y in the equation then,
7x + (-5) = 11 that is 7x - 5 = 11....
So, B. is the right answer.

3 0
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A bag contains yellow marbles and red marbles, 77 in total. The number of yellow marbles is 5 more than 3 times the number of re
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Answer:

41

Step-by-step explanation:

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red marbles=3r

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8 0
3 years ago
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