1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mr_godi [17]
3 years ago
14

PLEASE HELP!!!!! What is the value of x in the matrix equation below?

Mathematics
1 answer:
Brums [2.3K]3 years ago
3 0

The given matrix equation is,

1.5\left[\begin{array}{cc}x&6\\8&4\end{array}\right] +y\left[\begin{array}{cc}1&4\\3&2\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right].

Multiplying the matrices with the scalars, the given equation becomes,

\left[\begin{array}{cc}1.5x&9\\12&6\end{array}\right] +\left[\begin{array}{cc}y&4y\\3y&2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]  \\

Adding the matrices,

\left[\begin{array}{cc}1.5x+y&9+4y\\12+3y&6+2y\end{array}\right]  =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]  \\

Matrix equality gives,

1.5x+y=z\\ 9+4y=z\\ 12+3y=6z\\ 6+2y=2

Solving the equations together,

y=-2\\ 3y-1.5x=9\\ -1.5x=9+6\\ x=-10

We can see that the equations are not consistent.

There is no solution.

You might be interested in
Decide wheather the Change is an increase or decrease and find the percent change original number =45 new number =18
oee [108]

Answer:

40% decrease

Step-by-step explanation:

7 0
3 years ago
Solve for x<br><br> x/4= 25<br><br> quick
storchak [24]

Answer:

x=100

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Find the measure of c. A. 40 B. 70 C. 90 D. 50
Juliette [100K]

Answer:

D. 50

Step-by-step explanation:

a = 90° (angle subtended in semicircle)

a + c + 40° = 180° (by angle sum postulate of a triangle)

90° + c + 40° = 180°

c + 130° = 180°

c = 180° - 130°

c = 50°

4 0
3 years ago
Giving brainliestttt
Nataly [62]

Answer:

Jupiter is so big that all the other planets in the solar system could fit inside it. More than 1,300 Earths would fit inside Jupiter. Jupiter is the fifth planet from the sun. From Earth, it is almost always the second brightest planet in the night sky.

7 0
2 years ago
I NEED HELP ASAPPPP
Yuliya22 [10]
Pythagorean Theorem- A^2+B^2=C^2
1) 6^2+9^2= x^2
2) 36+81= 117
Square root 117 =10.82

Hope this helped :)
4 0
3 years ago
Other questions:
  • Which is the simplified form of m^-8p^0
    12·2 answers
  • in the month of November a dance troupe had 150 members. In December there was a 20% decrease in the members. In January there w
    15·1 answer
  • Find the surface area of a cylinder with a radius of 38 centimeters and a height of 123 centimeters
    9·2 answers
  • A college entrance exam company determined that a score of 23 on the mathematics portion of the exam suggests that a student is
    11·1 answer
  • If ON = MN, find MN.<br> A 4<br> B. 5<br> C. 4 square root 2<br> D. 4 square root 30
    6·2 answers
  • A marketing research company is estimating the average total compensation of CEOs in the service industry. Data were randomly co
    5·1 answer
  • A hotel offers teo activity packages. One costs $192 and includes 3h of horsebackriding and 2h of parasailing. The second costs
    8·1 answer
  • Solve each inequality then graph the solution
    6·1 answer
  • What is the smallest angle of a right triangle with sides 9, 40, and 41? Round your answer to the nearest degree, and enter the
    10·1 answer
  • Use the right formula from the image to find the length of the segment with endpoints at (2, 7) and (8, -1). Show your work.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!