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
Natasha_Volkova [10]
3 years ago
15

Which values for A and B will create infinitely many solutions for this system of equations? ax-y=8 2x+y=b

Mathematics
1 answer:
Nata [24]3 years ago
5 0

Answer:

a = -2 , b = -8

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   ax - y = 8 ⇒ (1)

   2x + y = b ⇒ (2)

∵ The system create infinitely many solutions

∴ The lines are coincide

- The equations must be equal, then multiply equation(1) or (2) by -1 to

  make the coefficient of y in the two equations equal

∴ -ax + y = -8

∴ 2x + y = b

∵ Their coefficients of x are equal

∵ Their coefficients of y are equal

∵ Their numerical terms are equal

∵ The coefficient of x in equation (1) is -a and in equation (2) is 2

∴ -a = 2 ⇒ multiply both sides by -1

∴ a = 2

∵ The numerical term in equation (1) is -8 and in equation (2) is b

∴ b = -8

* The values for a and b will create infinitely many solutions are -2 , -8

You might be interested in
If m < 0 and b > 0, the graph of y = mx + b does not pass through which quadrant?
stiks02 [169]

Answer:

Quadrant III


Step-by-step explanation:

The attached picture shows graph of 4 such linear functions with the conditions given in the problem. ALL of them DO NOT pass through Quadrant III.

The graphs shown are of the functions:

y=-2x+1

y=-3x+3

y=-x+0.5

y=-5x+2


<em>So, any linear function of the form  y=mx+b  with  m  and  b>0  does not pass through Quadrant III. Answer choice 3 is correct.</em>


8 0
3 years ago
Read 2 more answers
Situation 1. ROCKET RIDE.
Daniel [21]
B beacuse it’s 173 thanks very much
7 0
3 years ago
Sam's parents gave him a map to reach to
irina1246 [14]
2.5 km because 1.5 is half of 3 and half of 5 is 2.5
5 0
2 years ago
Read 2 more answers
3(3f-2)&gt;5f-3 solve the inequality
qwelly [4]

open () to make 9f-6>5f-3

minus 5f to make 4f-6>-3

add 6 to make 4f>3 so f >3/4

5 0
3 years ago
Read 2 more answers
The perimeter of the figure below is 54.9 in. Find the length of the missing side.
Hoochie [10]
7.3in have a nice dayyyyyy
8 0
3 years ago
Other questions:
  • Chris cut a rope into two pieces. One piece was 11.36 meters long and the other piece was 13.46 meters long. About how long was
    14·2 answers
  • Factor the following problems SHOW YOUR WORK<br> 1. x^2+16x+24<br> 2. x^2-10a+25
    14·1 answer
  • Next number in sequence 3 -6 12 4 20 ?
    10·1 answer
  • The ratio of surface areas of 2 similar cones is 16:49. What is the ratio of volumes of similar cones?
    13·1 answer
  • !!!!!Help!!!!
    5·1 answer
  • A triangle has a base of 4 units and a height of 3 units. Mark draws the triangle again but
    11·2 answers
  • Beatrice graphed the relationship between the time (in seconds) since she sent a print job to the printer and the number of page
    8·1 answer
  • YALL PLS HELP ME ASAP!!!!!! :(((
    5·2 answers
  • A solution set always includes
    12·1 answer
  • PLEASEE HELPP MEEE I WILL GIVE BRAINLIEST
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!