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
leva [86]
3 years ago
11

Consider the system of equations.

Mathematics
1 answer:
Harman [31]3 years ago
3 0

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

The given system of equations:

x  +  2y  =  1............(1)

-3x - 2y  =  5..........(2)

This can be written in matrix form as shown:

\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]

Find the determinant of \left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right]

\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle  = 4

\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12

\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8

x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3

y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

Learn more here: brainly.com/question/4428059

You might be interested in
9. Solve for x: 2x – y = (3/4)x + 6.​
AlekseyPX

Answer:

x = 4(y + 6)/5

Step-by-step explanation:

2x - y = (3/4)x + 6

2x - (3/4)x = y + 6

(8x - 3x)/4 = y + 6

5x/4 = y + 6

5x = 4(y + 6)

5x = 4y + 24

x = (4y + 24)/5

Therefore, x = 4(y + 6)/5

4 0
4 years ago
The measures of an exterior angle and the adjacent interior angle add up to 180 degrees because they form a linear pairtrue or f
kogti [31]
True, because all angles on a straight line add up to 180 deg
5 0
3 years ago
2 Points
ziro4ka [17]
The answer is D. x = 6 - 2y
3 0
4 years ago
I NEED THIS ASAP!!!
olasank [31]

Answer:


Step-by-step explanation:

$0.70 per mile is the rate (slope), $10 flat fee is your starting cost (i.e. your y-intercept).

By slope - intercept linear equations we have:

(a) y=mx+b where m is the slope and b is the y-intercept.

y=0.70x+10

(b) The graph is linear on the coordinate plane because the slope (rate) is constant.

(c) The slope of this graph is $0.70 per mile and the y-intercept is $10 flat fee.  Your cost is $10 initially and $0.70 for every mile driven.

5 0
3 years ago
Read 2 more answers
Find the lengths of the legs of the right triangles. AC= BC= PR= RQ= Are these triangles similar? Type "yes" or "no".
Andrej [43]

Answer:

Step-by-step explanation:

Yes

4 0
3 years ago
Other questions:
  • The number sentence 4*7 = (4*3)+ (4*4) is an example of what property
    8·2 answers
  • Given angle DOG, what is the third step with you construct the copy of angle DOG?
    8·1 answer
  • Write the standard form of the equation of the line through the given points and I
    9·1 answer
  • Math!!!!!!! plz help or i will get 0
    10·2 answers
  • 2) Match the following nets to the picture of it's solid. Then write the name of the solid
    7·2 answers
  • I need help please!!
    12·2 answers
  • A) From where Jacob and his family have set up camp to the base of the mountain is 2,000 feet.
    5·1 answer
  • What is the surface area of the cone?
    5·1 answer
  • A cheetah can run 70 miles per hour.what is this speed in feet
    13·1 answer
  • What is the correct justification for the first step in solving this
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!