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
alexdok [17]
3 years ago
5

Solving by substitution 2x-5y=10 ; x-2y=14

Mathematics
1 answer:
never [62]3 years ago
4 0

Answer:

The solution of the given system of equation is    x = 50, y  =18

Step-by-step explanation:

Here, the given system of equations are:

2x - 5y = 10 , x - 2y  = 14

Now, from equation (2), we get    x = 14 + 2y

SUBSTITUTE  this value of y in the given equation (1)

We get:  2x - 5y = 10 ⇒   2(14 + 2y) - 5y = 10

or, 28 + 4y - 5y = 10

⇒ 28 - y = 10

or y =  28 - 10  = 18

⇒ y  = 18

Now, if y = 18, SUBSTITUTE this value of y in x = 14 + 2y

⇒ x = 14 + 2<u>y</u> = 14 + 2(<u>18</u>) = 14 + 36 = 50

Hence, the solution of the given system of equation is x = 50, y  =18

You might be interested in
Which statement compares the two numbers correctly?
slamgirl [31]

Answer:

Step-by-step explanation:

So, we have-

(6 x .1) + (3 x .01) + (2  x .001)

So, we will solve inside of the parenthesis first.

6 x .1  = <u>.6</u>

So, we got that settled next-

3 x .01 = <u>.03</u>

We got that settled last-

2 x .001 = <u>.002</u>

Lastly, we add them all.

.6 + .03 + .002 =  .632

Now we compare.

.632 > .629

So, there is your answer!

Hope this helps!

7 0
3 years ago
Matters has 456:8 What s his rate
Olegator [25]

We are given ratio 456:8.

The given ratio can be written in fraction form as \frac{456}{8}

In order to find the rate, we need to divide 456 by 8, because it would give the unit value.

When we divide 456 by 8, we first take multiple of 8 closer to the number 45.

8*6=48 but it's greater than 45, so we would take 8*5 =40.

Subtracting 40 from 45, we get 5.

Getting 6 down, we get 56. Take multiple of 8 upto 56.

8*7= 56.

56 -56=0.

So, on dividing 456 by 8 we got 57.

Therefore, rate is 57 per unit.


3 0
3 years ago
15 points!!! GEOMETRY help please!!<br> Questions attached!
dolphi86 [110]
3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o

Answer:\ \boxed{47^o}

4.
Look at the picture.

Use Pythagorean theorem:

x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8

Used:\ (a+b)^2=a^2+2ab+b^2

Answer:\ \boxed{4.8\ units}

5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}

We have: OP:\ y=-\dfrac{3}{2}x+b

Now, we must find the slope of the line perpendicular to the line OP.
We know:

k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1

therefore

-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}

So. We have the answer! :)

Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}

6 0
3 years ago
FREEEEEEE POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Degger [83]
Dhsksggsosnsbsbsndjhdisjdbdgisjdbdbd
8 0
3 years ago
Read 2 more answers
7 more than twice a number x
torisob [31]
So,

"7 more than"
7 +

"twice a number x"
2 * x or 2x

"7 more than twice a number x"
7 + 2x or 2x + 7
5 0
4 years ago
Other questions:
  • Need help with understanding table of ordered pairs , I have two left and that's basically all.
    14·1 answer
  • You toss a coin and roll a number cube. Find P(tail and a six).
    14·2 answers
  • 1.5d+3=-4.5 what does D equal
    5·2 answers
  • 16 squared with explanation.
    11·2 answers
  • Franklin measured and labeled the angles of a triangle as shown. Jennifer says that at least one of his measures is incorrect. E
    11·1 answer
  • Chose all the properties that were used to simplify the following problem
    13·1 answer
  • I need help please!!
    11·1 answer
  • Carlos has $24, which is 1 1/3 as much money as Luisa has. How much money does Luisa have?
    14·2 answers
  • Write the numbers in order from least to greatest.<br> 1.23, 2.13, 3.12, 1.11
    14·2 answers
  • Coulddd i be helped really quick?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!