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
Lilit [14]
3 years ago
12

What is the value of the x variable in the solution to the following system of equations? 3x + 2y = 8 2x + 3y = 2

Mathematics
2 answers:
jolli1 [7]3 years ago
8 0
3x+2y=8 \ \ \ \ \ |\times 3 \\
2x+3y=2 \ \ \ \ \ |\times (-2) \\ \\
9x+6y=24 \\
\underline{-4x-6y=-4} \\
5x=20 \\
x=\frac{20}{5} \\
x=4

The answer is A.
malfutka [58]3 years ago
4 0
Solve your system of equations.

3x+2y=8;2x+3y=2

Solve 3x+2y=8 for x:

3x+2y+−2y=8+−2y(Add -2y to both sides)

3x=−2y+8

3x/3=−2y+83(Divide both sides by 3)

x=−2/3y+8/3

Substitute (−2/3y+8/3) for x in 2x+3y=2:

2x+3y=2

2(−2/3y+8/3)+3y=2

5/3y+16/3=2(Simplify both sides of the equation)

5/3y+16/3+−16/3=2+−16/3(Add (-16)/3 to both sides)

5/3y=−10/3

5/3y5/3=−10/35/3(Divide both sides by 5/3)

y=−2

Substitute (−2) for y in x=−2/3y+8/3:

x=−23y+83

x=−23(−2)+83

x=4(Simplify both sides of the equation)

Answer is A)

You might be interested in
A car travels at a constant speed. What is the car's speed between checkpoints, expressed as a unit rate? Checkpoint A 1:00 PM T
storchak [24]
Average speed  

Average speed between the checkpoints  
distance between the checkpoints
divided by
time between the checkpoints. 

Distance between the checkpoints = 
(mileage at B) minus (mileage at A)
=(208)-(120)  =  88 miles .

Time between the checkpoints = 
time at - time at A

=(3:00 PM) - (1:00 PM) =  2 hours .

Average speed between the checkpoints  =  

(88 miles) / (2 hours)

=44 miles per hour .
  
4 0
3 years ago
Convert the binary number 10101 to its base 10 equivalent.<br><br> 12<br> 21<br> 22<br> 31
Angelina_Jolie [31]

10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

10101₂ = 16 + 0 + 4 + 0 + 1

10101₂ = 21

7 0
3 years ago
Read 2 more answers
HELP ASSAP WILL MARK BRAINIEST!!!!!!!!
Alex787 [66]
The x-intercept is -2, since the line intersects with the x-axis at (-2, 0).

The y-intercept is 1, since the line intersects with the x-axis at (0, 1).



Please consider marking this answer as Brainliest to help me advance.
3 0
3 years ago
Una persona que está situada entre dos montañas emite un sonido, si percibe el primer eco a los 2 seg, y el siguiente a los 3 se
Goryan [66]

Answer:

1715 metros

Step-by-step explanation:

Lo que debemos hacer es calcular la distancia del primer y del segundo eco.

Debemos conocer la velocidad del sonido que en términos generales es 343 m/s, por lo tanto, la distancia sería igual a:

v = d/t => d = v*t

d1 = 343*2 = 686 metros

d2 = 343*3 = 1029 metros

La separación sería la suma de ambas distancias así:

686 + 1029 = 1715

1715 metros sería la distancia de separación entre ambas montañas.

3 0
3 years ago
The coordinate points of T are (0,6). The midpoint of ST is (6,-8). Find the coordinate of point S.
givi [52]

Answer:

The coordinates of the point S =  (12, -22)

Step-by-step explanation:

The coordinate points of T = (0,6)

Mid point of ST = (6,-8)

Let the coordinates of S = (a,b)

Now, BY MID POINT FORMULA:

If (x, y) and (z, w) are the line point joining line segment and (p,q) is the coordinate of mid point. Then

(p, q)  = (\frac{x  + z}{2}  , \frac{y + w}{2} )

So, here similarly, (6, -8)  = (\frac{(0+a)}{2}  , \frac{6+ b}{2} )

⇒ 6   = \frac{0+a}{2}  , -8 =  \frac{6+ b}{2}

⇒ a =2 x 6 = 12, b = 2 (-8) -6 = -22

⇒(a,b) = (12, -22)

Hence, the coordinates of the point S =  (12, -22)

6 0
3 years ago
Other questions:
  • The triangular prism shown below is 6 \,\text{cm}6cm6, start text, c, m, end text wide and 4\,\text{cm}4cm4, start text, c, m, e
    15·1 answer
  • SOME ONE PLEASE HELP Determine the sum: (8x3y2 + 4xy2) + (2xy2 + 9x3). 23x8y6
    11·1 answer
  • Rewrite the following without an exponent<br> (-3) -1
    14·2 answers
  • Which describes the correlation show in the scatter plot?
    11·2 answers
  • PLEASE HELP! FIND THE SURFACE AREA OF THIS SQUARE-BASED PYRAMID. I REALLY NEED HELP
    10·1 answer
  • Congruent angles have _______________ supplements.<br> Fill in the blank
    6·2 answers
  • Un terreno de forma rectangular tiene un lado que mide 4 874 m y el otro lado mide 876 m determinar su área
    5·1 answer
  • 4. A stamp collection contains 32 Canadian stamps, 20 United Kingdom stamps, and 12 Asian stamps.
    8·1 answer
  • Solve the system x-y=5 and 4x-5y+17
    6·1 answer
  • Determine the equation of the line passing through the point below having the corresponding slope.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!