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
KIM [24]
3 years ago
14

Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5

Mathematics
1 answer:
givi [52]3 years ago
7 0
<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]                            X=\left[\begin{array}{c}x\\y\end{array}\right]

and          B= \left[\begin{array}{c}11\\5\end{array}\right]

∴AX=B

adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]

A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6

∴A^{-1} =\frac{adj A}{|A|}

So,A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}

A^{-1} ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}

X =A^{-1}\times B

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c}  {6}\\  {11} \end{array}\right]}

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

You might be interested in
A car enters a turnpike 22 miles north of a town. The car teavels north at an average speed of 64 miles per hour. How far is the
HACTEHA [7]

Answer:

  • distance traveled can be modeled by a linear function
  • the car is 260 miles north of town

Step-by-step explanation:

a) When the speed is constant, the distance traveled is proportional to the travel time, a linear relationship. The distance traveled can be added to the initial distance to obtain the total distance (from town). This relation is a linear function. It can be modeled by the equation ...

  d(t) = 4 + 64t . . . where t is travel time in hours, d(t) is the distance in miles

b) After 4 hours, the distance north of town is ...

  d(4) = 4 +64(4) = 260

The car is 260 miles from the town after 4 hours.

4 0
3 years ago
Read 2 more answers
Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?
laiz [17]

Answer:

Step-by-step explanation:

If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get

x^2-3x-7x+21 which simplifies to

x^2-10x+21 and we distribute in the 4:

4(x^2-10x+21) to get

4x^2-40x+84 which is another way to write the last choice you're given.

3 0
3 years ago
There are 8 triangles in 12 circles what is the simplest ratio triangles to circles
NNADVOKAT [17]

Answer: 8:12,8to12

Step-by-step explanation:

5 0
3 years ago
HELP MY GRADE 9 PLS AND THANK YOU
Kryger [21]

Answer:

64x²y²

Step-by-step explanation:

Use the great smart calculator

hope it helpz uuuuuuu

8 0
2 years ago
DA−2qA=B^3<br> Solve for A
a_sh-v [17]

Answer:

a=\frac{b^{3} }{d-2q}

Step-by-step explanation:

i think

8 0
3 years ago
Other questions:
  • 70 points. ONE QUESTION. WILL MARK FIRST ANSWER BRAINLIEST. PLEASE HELP ASAP.
    9·2 answers
  • Nolan surveyed 350 students at his middle school. Pizza was the favorite lunch of 42% of the students. How many students chose p
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=x%20-%204%20%3D%2018" id="TexFormula1" title="x - 4 = 18" alt="x - 4 = 18" align="absmiddle" c
    14·2 answers
  • Over the last three evenings, Kala received a total of 131 phone calls at the call center. The third evening, she received 4 tim
    10·2 answers
  • Arden calculated the height of a cylinder that has a
    8·2 answers
  • 2/3 &gt; 5/12 is this one correct
    14·2 answers
  • To which set or sets does the number 8 belong?
    8·2 answers
  • the drama club is holding auditions for 5 different parts in a one-act play. if 9 people audition, how many ways can the roles b
    10·1 answer
  • I'm bi
    15·1 answer
  • You earn $8.50 per hour walking dogs and $5.75 per hour mowing lawns. The amount you earn is given by the expression 8.5x + 5.75
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!