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
Trava [24]
3 years ago
6

(x+y,x-2y)=(4,1), find x and y

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0

Answer:

x = 3, y = 1

Step-by-step explanation:

Equate the x and y coordinates of the given points

x + y = 4 → (1)

x - 2y = 1 → (2)

Subtract (2) from (1) term by term to eliminate x

0 + y - (- 2y) = 4 - 1

y + 2y = 3

3y = 3 ( divide both sides by 3 )

y = 1

Substitute y = 1 into (1) for corresponding value of x

x + 1 = 4 ( subtract 1 from both sides )

x = 3

gtnhenbr [62]3 years ago
5 0

Answer:

x =3 and y =1

Step-by-step explanation:

( x+y , x-2y) = (4 , 1)

compare their corresponding elements

x+y = 4

y = 4 - x         equation (i)

x-2y =1

substitute the value of x

x - 2(4 - x) =1

x - 8 + 2x =1

3x = 1 +8

x = 9/3

x = 3

Now substitute the value of x in equation (i)

y = 4 - x

y = 4 - 3

y = 1

You might be interested in
A cylindrical jar of peanut butter measures 7 cm in diameter and 12 cm in height. If 1 cm³ = 0.034 ounce,
olga55 [171]
  • Radius=r=7/2=3.5cm
  • h=12cm

Volume

  • πr²h
  • π(3.5)²(12)
  • 12π(12.25)
  • 461.58cm³

Convert to ounces

  • 461.58×0.034
  • 15.7oz
  • 16oz

Option C

8 0
2 years ago
Read 2 more answers
What is X/3=3X-15/4<br> Please help me thanks
Rufina [12.5K]
X=9x-45/4
4x=36x-45
4x-36x=-45
-32x=-45
x=45/32
5 0
3 years ago
Darius flipped a coin 500 times and it landed heads up 300 times .What is the relative frequency of the coin landing heads up ba
Leto [7]

To find the relative frequency, we have to first divide 300 by 500 and on doing so we will get 0.6 .

And then to find the percentage, we need to multiply it with 100 . And 0.6 times 100 = 60%.

So out of the given 4 options, correct option is the last option .

7 0
3 years ago
Read 2 more answers
What is the solution to the following system??<br>A) (2.5,0)<br>B) (5,1)<br>C) (0,2)<br>D) (1,5)​
m_a_m_a [10]

Answer:

C

Step-by-step explanation:

at least i think so

8 0
4 years ago
Solve for x<br> (1/x) -2/3 = (4x)
Vadim26 [7]

The value of x is x=\frac{-1+\sqrt{37}}{12} and x=\frac{-1-\sqrt{37}}{12}

Step-by-step explanation:

The equation is \frac{1}{x}-\frac{2}{3}=4 x

Subtracting by 4x on both sides,

\frac{1}{x}-\frac{2}{3}-4 x=0

Taking LCM,

\frac{3-12 x^{2}-2 x}{3 x}=0

Multiplying by 3x on both sides,

-12 x^{2}-2 x+3=0

Dividing by (-) on both sides,

12 x^{2}+2 x-3=0

Using quadratic formula, we can solve for x.

\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}

Taking out common term 2, we get,

\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}

Thus, the value of x is  x=\frac{-1+\sqrt{37}}{12} and x=\frac{-1-\sqrt{37}}{12}

4 0
3 years ago
Other questions:
  • I need help quick pelase
    7·1 answer
  • A crane is lowering a concrete block from a height of 270 feet above the ground at a constant rate 2.5 feet per second. which fu
    6·1 answer
  • How do u guys solve this problem
    12·2 answers
  • Avel is an ergonomist. He plans to measure the amount of office space per employee. What would be an appropriate unit for Avel's
    15·2 answers
  • How would you show your work in the question "A fence is being built around a rectangular garden that is 8 1/2 feet by 6 1/3. Fe
    10·1 answer
  • Mary weighs 36 kg when she was 12 years old. And now she weighs 63 kg. What is the percentage increase of Mary's weight?
    6·1 answer
  • Fifteen more than twice a number is -23.
    13·2 answers
  • What is the measure of G?
    8·1 answer
  • Help me solve this -&gt; g(x) = 2x + 3<br><br><br><br> g(7)
    5·2 answers
  • How many ways can six of the letters of the word 'PALINDROME' be selected and written in a row if the first two letters must be
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!