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
V125BC [204]
3 years ago
11

Need help with number 10 please

Mathematics
1 answer:
Naddika [18.5K]3 years ago
3 0

Answer:

  Pilar is correct. Both systems have solution (-2, 4).

Step-by-step explanation:

Graphing, or any other means of solving these systems of equations reveals both systems have the same solution: (x, y) = (-2, 4).

_____

By Cramer's rule, the solution to the first set is ...

  x = (2(6)-4(2))/(2(5)-4(3)) = 4/-2 = -2

  y = (2(5)-6(3))/-2 = -8/-2 = 4

(x, y) = (-2, 4) is the solution to the first system

__

Since the first equation of the second system is the same as the first equation of the first system, we know the above solution satisfies that equation. We only need to check to see if the same point satisfies the second equation of the second system:

  11(-2) +8(4) = -22 +32 = 10 . . . . . yes,

(-2, 4) is the solution of the second system

Pilar is correct that both systems have the same solution.

_____

Cramer's Rule tells you the solution to

  • ax +by = c
  • dx +ey = g

is ...

  • x = (bg -ec)/(bd -ea)
  • y = (cd -ga)/(bd -ea) . . . . same denominator as for x

I like to use Cramer's Rule when the solution is needed without a lot of steps. Here, we could use the Elimination method to eliminate the y-variable and solve for x. Then more steps are needed to find y. The writing out and explanation are tedious, so it is much simpler just to use a formula that gives the answer.

You might be interested in
A circle with circumference 12 and has an arc with a 48, degrees central angle.What is the length of the arc?
Phantasy [73]

Answer:

0.1754596 ft

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is f(-2)?<br> -3 <br> -1<br> 1<br> 3
Dima020 [189]

Answer:

nc

Step-by-step explanation:

ccccdcdc

7 0
3 years ago
Read 2 more answers
Can you help me out with this question 5 pls
Maslowich
Gives an output of 1 I think
3 0
3 years ago
Complete the identity. sin4x - cos4x = ?
Katyanochek1 [597]
Since sin(2x)=2sinxcosx, we can plug that in to get sin(4x)=2sin(2x)cos(2x)=2*2sinxcosxcos(2x)=4sinxcosxcos(2x). Since cos(2x) = cos^2x-sin^2x, we plug that in. In addition, cos4x=cos^2(2x)-sin^2(2x). Next, since cos^2x=(1+cos(2x))/2 and sin^2x= (1-cos(2x))/2, we plug those in to end up with 4sinxcosxcos(2x)-((1+cos(2x))/2-(1-cos(2x))/2)
=4sinxcosxcos(2x)-(2cos(2x)/2)=4sinxcosxcos(2x)-cos(2x)
=cos(2x)*(4sinxcosx-1). Since sinxcosx=sin(2x), we plug that back in to end up with cos(2x)*(4sin(2x)-1)
4 0
3 years ago
Read 2 more answers
mrs. lauren made 12 pillows from 16 yards of the same fabric. how much fabric was used to make each pillow
blondinia [14]
1 and 1/4 yards of fabric.
5 0
3 years ago
Read 2 more answers
Other questions:
  • A hammer is 1 foot long a car is 15 feet long and shovel is 4 feet long which statement is correct? Choose all that apply’s
    7·1 answer
  • Find the total surface area of this triangular prism
    15·2 answers
  • Solve for Y. 9/4y-12=1/4y-4
    13·2 answers
  • PLZ HELP 20 POINTS
    5·2 answers
  • 3 Sarah left home at 10:00 and cycled north in
    9·1 answer
  • Factor out 6x3 - 12x2 + 9x completely.
    11·1 answer
  • The equation y = 40x shows the number
    6·1 answer
  • In your own words, explain why C=2πr, where C is the circumference of a circle of radius r. Include a description of the number
    9·1 answer
  • HELP PLZ I NEED THIS ANSWER FAST! D: im dumb-
    7·1 answer
  • Please help it’s due!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!