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
ale4655 [162]
3 years ago
15

Solve system using linear combination. 5x + 3y = 41 and 3x - 6y = 9 show all work.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0

Answer:

(7,2)

Step-by-step explanation:

5x + 3y = 41

3x - 6y = 9

Multiply the first equation by 2

2(5x + 3y) = 41 *2

10x +6y = 82

Add this to the second equation

10x +6y = 82

3x - 6y = 9

----------------------

13x = 91

Divide by 13

13x/13 = 91/13

x=7

Now we can find y

5x+3y = 41

5(7) +3y =51

35+3y=41

Subtract 35 from each side

35-35+3y=41-35

3y = 6

Divide by 3

3y/3 = 6/3

y=2

You might be interested in
How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from? 720 20,160 40,320 48?
Rudik [331]
The number of permutations of 8 people taken 6 at a time is given by:
8P6=\frac{8!}{(8-6)!}=20,160

5 0
3 years ago
Read 2 more answers
The radius of the circle on a basketball court is 6 feet. What are the approximate circumference and area of the circle?
AlexFokin [52]
Circumference formula - 2pi(r)
area formula - pi(r)^2
in both of the formulas r is the radius so

to find circumstance: 2(pi)(6) = 25.68 feet

to find area: pi(6)^2 = 113.04 feet
4 0
2 years ago
Find the distance between the two points. Round your solution to 2 decimal points.
VashaNatasha [74]
Notice the grid, the points are (-5, -2) and (4, -1), thus

\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\ \quad \\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~{{ 4}} &,&{{ -1}}~) 
%  (c,d)
&&(~{{ -5}} &,&{{ -2}}~)
\end{array}~~
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[-5-4]^2+[-2-(-1)]^2}\implies d=\sqrt{(-5-4)^2+(-2+1)^2}
\\\\\\
d=\sqrt{(-9)^2+(-1)^2}\implies d=\sqrt{81+1}\implies d=\sqrt{82}
6 0
3 years ago
Lee records the height of players on a basketball team and calculates the mean absolute deviation of the set of data.
ladessa [460]

Answer:

Bhshahahshshahahshshshwwhabahahahajwuwiwiiw

3 0
3 years ago
As a salesperson, you are paid $50 per week plus $2 per sale. This week you want your pay to be at least $100. What is the minim
mamaluj [8]
This is simple , minus 50 from 100 and that gives you 50 left . then divide that by 2 and that gives you 25 . so the minimum number of sales required is 25 . hope this helps :)<span />
8 0
3 years ago
Read 2 more answers
Other questions:
  • 9.<br> The cost of 20 litres of petrol is £18<br> Work out the cost of 1 litre of petrol.
    7·2 answers
  • Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction
    6·2 answers
  • What are the types of transformations in 8th grade Pre-Algebra?
    7·1 answer
  • Cassie received a 20%-off coupon and a $10-off coupon from a department store. She visits the department store during a tax-free
    11·1 answer
  • If three times a number is increased by 4, the result is -8. Determine the number.
    11·1 answer
  • Identify whether the following items best fit with a discrete or a continuous model. Then determine whether it is a linear (arit
    11·1 answer
  • Please help need aasap
    5·1 answer
  • A square park has an area of 1/16 square miles and a length of 1/4 mile. What is
    8·1 answer
  • Solve for the value of r. (8r+6)° (9r-7)​
    13·1 answer
  • Estimate the product of 54 X 68.​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!