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
Sergio039 [100]
4 years ago
11

Solve x-3y=-6 and 2x-y=3 using equal value method

Mathematics
1 answer:
Cerrena [4.2K]4 years ago
7 0

Answer:

x = 3

y = 3

Step-by-step explanation:

To solve x - 3y = -6 and 2x - y = 3 using equal value method, express othe same variable from each equation.

1st equation:

x=3y-6

2nd equation:

2x=y+3\\ \\x=\dfrac{1}{2}(y+3)

Equate the right sides of these expressions:

3y-6=\dfrac{1}{2}(y+3)

Multiply by 2:

6y-12=y+3\\ \\6y-y=3+12\\ \\5y=15\\ \\y=\dfrac{15}{5}\\ \\y=3

Substitute it into the first expression:

x=3\cdot 3-6\\ \\x=9-6\\ \\x=3

You might be interested in
10
Novay_Z [31]

Answer:

The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎

Step-by-step explanation:

For a reflection across the line y = -x, we have, (x, y) → (y, x)

Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x

The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)

Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'

Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎

5 0
3 years ago
908,145,623,777 ten-millions place of this number.
nirvana33 [79]
Start from the right-most 7, and go one digit to the left each time:
7 - units place
7 - tens place
7 - hundreds place
3 - thousands place
2 - ten-thousands place
6 - hundred-thousands place
5 - millions place
4 - ten-millions place    <----- answer to this question
1 - hundred-millions place
8 - billions place
0 - ten-billions place
9 - hundred billions place

The ten-millions place is the 4.
7 0
4 years ago
Explain an example of how taking an amount (for example, $20), decreasing it by 40% and then increasing that amount by 40% does
Likurg_2 [28]

Answer:

See below

Step-by-step explanation:

What we can do is try it out.

20*0.6=12

since 0.6 is left

now we increase 12 by 40, or multiply it by 1.4

12*1.4= 16.8

See what is happening here is that at first when we are decreasing it by 40 percent, we are taking 40 percent of 20. However, when we increase that amount by 40 percent, we are now increasing 40 percent of 20 by 40 percent, or increasing 16 by 40 percent. Therefore, we will not get the original amount.

4 0
4 years ago
The number 0.14356712341… never repeats or terminates. The number is number. Rounded to the nearest thousandth, it is
Alenkinab [10]
0.144 because the number after 3 is 5 and that rounds the 3 to a 4.
3 0
3 years ago
Please look at picture to answer all i know is that the answer is not (B)
krek1111 [17]

Answer:

A

Step-by-step explanation:

A parcent as a fraction would be /100. So the answer would not be C or D. And since it isn't B, the answer is only A

7 0
3 years ago
Read 2 more answers
Other questions:
  • There is 5 in the hundreds place,1in the hundredths place,4in the one solace and2in the tens place. What is the answer
    12·2 answers
  • Tony is 8 years old. His sister Anna is 4 years less than twice his age. Write a numerical expression for Anna’s age.
    11·1 answer
  • If 5 potatoes together have a mass of 1 kilogram and 8 pears together have a mass of 1200 grams, which has the greater mass, a p
    10·1 answer
  • How many edges must be removed from the wheel graph W6 in order to create a spanning tree for the graph?
    8·1 answer
  • Marika is training for tack race. She starts by sprinting 100 yards. She gradually increases her distance, adding 4 yards a day
    6·1 answer
  • 1 is the only number that's neither prime nor composite-right?
    12·1 answer
  • A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat
    5·1 answer
  • Barry collects comic books. He currently has 350 comic books and plans to buy 10 comic books each month. Which equation represen
    12·1 answer
  • A medical researcher designs a study that will investigate the effects of a
    6·1 answer
  • Someone please explain this it’s confusing me.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!