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
marissa [1.9K]
3 years ago
13

-9x+10y = -18 3x- y =6 Elimination

Mathematics
2 answers:
Anastasy [175]3 years ago
8 0
Answer: x = 2 and y = 0

Explanation:

-9x + 10y = -18
3x - y = 6
————————
-9x + 10y = -18
10(3x - y = 6)
————————
-9x + 10y = -18
30x - 10y = 60
————————-
21x = 42
x = 42/21
x = 2

Find y:

3x - y = 6
3(2) - y = 6
6 - y = 6
-y = 6 - 6
-y = 0
y = 0
Fiesta28 [93]3 years ago
3 0

Step-by-step explanation:

Hey, there!!

To solve this type of equation it is very easy from elimination method,

  • Firsty, you try to search if there is opposite sign of same variables or not in both equation.
  • Then find their LCM to make easy to cancel.
  • And thirdly add or subtract the terms to get value of one variable.
  • Then substitute the value of one variable to get value of another variable.

Here, the given equation are,

-9x+10y = -18..........(i)

3x-y = 6....................(ii)

Let's take LCM to solve for x.

To solve for "x" we must cancel "y".

LCM= 10 { lcm of 1 and 10 is 1}

So, let's multiply equation (ii) by 10 and add them.

Then,

-9x + 10y = -18

<u>3</u><u>0</u><u>x</u><u> </u><u>-</u><u> </u><u>1</u><u>0</u><u>y</u><u> </u><u>=</u><u> </u><u>6</u><u>0</u>

21x = 42 { as +10y and -10y gets cancelled}

x =  \frac{42}{21}

Therefore, x= 2.

Substituting the value of x in equation (i)

-9x + 10y = -18

-9 × 2 +10y = -18

-18 + 10y = -18

or, 10y = -18 +18

Therefore, y= 0.

So, the value of x is 2 and y is 0.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

You might be interested in
Question 8, thanks guys
Natasha2012 [34]

Answer:

B.

Step-by-step explanation:

Use the multiplication table of 12 and find that 5x12=60. Answer B is the only one that has that.

5 0
2 years ago
Read 2 more answers
How much more did she spend in week 4 than in week 1?
bezimeni [28]

Answer:

I think there is a picture that's suppose to go with this..??

Step-by-step explanation:

8 0
2 years ago
Craig has of collection of 220 marbles. He lets his friend have 14 of his collections and sells 15 of his collection to the nove
Illusion [34]
220-14= 206
206-15=191
191-15=176
Answer: 176
3 0
3 years ago
Find the lateral area of this pyramid whose base is a regular hexagon with a side length of 3cm and whose slant height is 12cm.
sergeinik [125]

i think you do it by like

12squared - 1.5 squared = A Squared

you do this to get the height

so

144- 2.25 = 141.75 then you square root it which equals 11.90

11.90×3÷2 = 17.85

17.85×6= 107. 15

im not sure

7 0
3 years ago
Read 2 more answers
Kay is running a 13.5 km race. If she runs at a rate of 8 2/5 km/he for 1.5 hours, how many kilometers will she have left to run
Monica [59]

The number of kilometers she will have left to run to finish the race is 0.9 km.

<u>Given the following data:</u>

  • Total distance = 13.5 km
  • Speed = 8\frac{2}{5} \;km/hr
  • Time = 1.5 hours

To determine the number of kilometers she will have left to run to finish the race:

First of all, we would calculate the distance she has covered by using this formula;

Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}

Distance = 12.6 meters.

<u>For the </u><u>distance left</u><u>:</u>

Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6

Distance left = 0.9 km.

Learn more about distance here: brainly.com/question/10545161

7 0
2 years ago
Other questions:
  • A mobile phone service provider wants to survey its customers to study privacy concerns and the sharing of their personal inform
    7·1 answer
  • Which letters have rotational symmetry ? answers : W , K, Y , O , P , Z
    10·1 answer
  • Average speed of Car 1 = 35 mph. Average speed of Car 2 = 55 mph. Time elapsed between start of Car 1 and start of Car 2 = 18 mi
    14·2 answers
  • Can someone help please.
    12·1 answer
  • Gabriel has already 200 pages of his 530-page number reading book. If he reads at an a average rate of 55 pages per hour, how lo
    12·1 answer
  • Meike earned $1565 in tips while working a summer job at a coffee shop. She wants to use this money to take a trip to Europe nex
    13·1 answer
  • Hello, I need help solving the system of equations by substitution method.
    15·2 answers
  • PLEASE HELP!
    8·1 answer
  • 13. What values of x satisfy the inequality 4x + 2 &gt; 10? *<br> What is the answer
    13·2 answers
  • Help! i’ll mark the right one as brainliest :)!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!