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
lesya692 [45]
3 years ago
10

If a = -12/5, then 5x + 2y = 6 and 3x - ay = 4 are parallel.

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

<span><span><span><span>5x  </span>+<span>2y </span></span></span>=<span>6

</span></span>Add -2y to both sides

<span><span>5x</span>=<span><span>−<span>2y</span></span>+6

</span></span><span><span><span>‌</span></span></span>Divide both sides by 5

<span>x=<span><span><span>‌<span><span>−2/</span>5</span></span>‌y </span>+<span><span>‌ <span>6/5</span></span>‌

</span></span></span><span><span><span>that into the second equation:

</span></span></span>
<span><span><span>3<span>(<span><span><span>‌<span><span>−2/</span>5</span></span>‌y</span>+<span><span>‌<span>6/5</span></span>‌</span></span>)</span></span>+<span><span>‌<span>12/5</span></span>‌y </span></span>=4

simplify

</span><span><span><span><span>‌<span>6/5</span></span>‌y</span>+<span><span>‌<span>18/5</span></span>‌ </span></span>=4

</span>Add (-18)/5 to both sides

<span><span><span>‌<span>6/5</span></span>‌y</span>=<span>‌<span>2/<span>5

divide both sides by 6/5

y = 1/3

substitute 1/3 for y in x = -2/5y +6/5 to solve for x

x = -2/5(1/3) +6/5

x = 16/15

so x = 16/15 and y = 1/3
 now replace both x and Y in each of the original equations to check the answers:

5(16/15) +2(1/3) =  5 1/3 + 2/3 = 6  true

3(16/15) - -12/5(1/3) = 4 true
 so they are parallel
 
</span></span></span></span><span><span><span><span>
</span></span></span></span>
You might be interested in
A scuba diver is 3.8 meters below the surface of the water. He is descending at a rate of 0.5 meters per minute.
Andreyy89
-3.8 - 0.5m <== ur expression

the variable (m) represents number of minutes
5 0
3 years ago
Read 2 more answers
Please help. I am doing a test and I do not understand what I am being asked.
Oksanka [162]

Answer:

one

Step-by-step explanation:

i have no idea what kind of test ur taking my guy but have fun

5 0
3 years ago
What is the sine value of 7 pi over 6? negative square root 3 over 2 square root 3 over 2 negative 1 over 2 1 over 2?
djverab [1.8K]
First thing to do is to change the radians to degrees so it's easier to determine our angle and where it lies in the coordinate plane.  \frac{7 \pi }{6} * \frac{180}{ \pi }=210.  If we sweep out a 210 degree angle, we end up in the third quadrant, with a 30 degree angle.  In this quadrant, x and y are both negative, but the hypotenuse, no matter where it is, will never ever be negative.  So the side across from the 30 degree reference angle is -1, and the hypotenuse is 2, so the sine of this angle, opposite over hypotenuse, is -1/2
6 0
3 years ago
Read 2 more answers
Two long jumpers competed in a world-class track meet. The first athlete jumped a distance of 28.65 feet, and the second athlete
Elena-2011 [213]
4.40 feet farther than the second athlete
4 0
3 years ago
Read 2 more answers
Look at the pic and help if you can thxxxx
givi [52]

Answer:

The 1,3,and 4.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What is the true solution to the logarithmic equation?<br>log2 [log2(sqrt4x)]=1​
    12·2 answers
  • How to evaluate the expression 10(6-5)-3(9-6)
    14·2 answers
  • Please answer in attachment
    8·1 answer
  • What is the sum of the first 10 terms of the geometric series below?
    9·1 answer
  • Please Help solve this
    9·1 answer
  • what is the slope of the line that passes through the points (-7, -4) and (-11, -2) write your answer in simplest form
    15·1 answer
  • William is 3 years older than charmine the sum of 3 times charmines age and 2 times williams age is 76 how old are william and c
    15·1 answer
  • Matilda needs at least 112$ to buy a new dress . She has already saved $40 . She earns $9 an hour babysitting .write and solve a
    6·2 answers
  • PLEASE HELP FAST Its in the photo below
    7·1 answer
  • Mhanifa please help im almost done!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!