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
Tom [10]
3 years ago
8

Solving by elimination 5x+2y= -3 3x+3y=9 please help me solve x and y

Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0
1) -3(5x+2y=-3)⇒ -15x-6y=9
                                             ⇒ -9x=27
     2(3x+3y=9)⇒ 6x+6y=18

2) -9x/-9=27/-9 ⇒ x=-3 

3) 3(-3)+3y=9⇒ -9+9+3y=9+9⇒ 3y/3=18/3⇒ y=6

Answer: (-3,6)

Reasoning:
Step 1) In order to eliminate, first I had to multiple the first equation by -3 and the second by 2 so that when combining the equations y would cancel each other out so that I could solve for x. <em>Note: There are many combinations as to how you could multiple the equations so that either the x or y would cancel out.
</em>
Step 2) Once y is eliminated, solve for x.

Step 3) Now plug x back into one of the original equations and solve for y. <em>Note: Plug x back into one of the original equations, not the equations that were changed by multiplication,</em> 

You might be interested in
Manny does not eat 4/9 of his orange at lunch. Josh does not 5/9 of his orange at lunch. How much orange do Manny and Josh have
olga55 [171]

The amount of orange that Manny and Josh have leftover after eating lunch is 1.

<h3>What are fractions?</h3>

A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below

<h3>How much orange is leftover?</h3>

Oranges Manny has left = 1 - 4/9 = 5/9

Oranges Josh has left = 1 - 5/9 = 4/9

Oranges they both have left = 5/9 + 4/9 = 1

To learn more about subtraction of fractions, please check: brainly.com/question/915789

7 0
2 years ago
Twice the sum of a number p and 3.
Korvikt [17]

Answer:

7

Step-by-step explanation:

no explanation needed the answer is in the question

4 0
3 years ago
The dataset Restaurant Tips contains data recorded from 157 restaurant bills at a bistro in New York over a two week period and
xz_007 [3.2K]

Answer: ($3.532, $4.166)

Step-by-step explanation:

Given : Significance level : \alpha: 1-0.90=0.10

Critical value : z_{\alpha/2}=1.645

Sample size : n= 157

Sample mean : \overline{x}=\$\ 3.849

Standard deviation : \sigma= \$\ 2.421

The confidence interval for population mean is given by :_

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

\text{i.e. }\$\ 3.849\pm (1.64)\dfrac{2.421}{\sqrt{157}}\\\\\approx\$\ 3.849\pm0.317\\\\=(\$\ 3.849-0.317,\$\ 3.849+0.317)=(\$\ 3.532,\$\ 4.166)

Hence, the 0% confidence interval for the average tip given at this restaurant = ($3.532, $4.166)

5 0
3 years ago
See attached photo below
Daniel [21]

Answer:

  • Library 2 charges more for each book loaned.
  • Library 1 has a cheaper subscription fee.

Step-by-step explanation:

Based on the table, we can write the equation for the cost of borrowing from Library 2 using the two-point form of the equation of a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

for (x1, y1) = (2, 15.50) and (x2, y2) = (8, 26) this equation becomes ...

  y = (26 -15.50)/(8 -2)(x -2) +15.50 . . . . . fill in the values

  y = (10.50/6)(x -2) +15.50 . . . . . . . . . . . . simplify a bit

  y = 1.75x -3.50 +15.50 . . . . . . simplify more

In the above, we have x = number of books; y = cost. We can use "n" and "C" for those, respectively, as in the equation for Library 1. Then the monthly cost for Library 2 is ...

  C = 12 + 1.75n . . . . . . . arranged to the same form as for Library 1

_____

Now, we can answer the questions.

Library 2 charges more for each book loaned. (1.75 vs 1.50 for Library 1)

Library 1 has a cheaper subscription fee. (10 vs 12 for Library 2)

_____

The numbers in the cost equations are ...

  C = (subscription fee) + (cost per book loaned)·n

8 0
3 years ago
Tape diagrams help please
gavmur [86]

Answer:

w+1.3=2.7 i think

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • A right circular cone has a volume of 25π ft.. If the radius of the cone is doubled but the height remains fixed, what is the vo
    11·1 answer
  • What did the 800lb monster say to the 400lb monater ??
    5·1 answer
  • -5÷(-3 1/3)= how do I solve this?​
    13·2 answers
  • One angle of an isosceles triangle measures 100°. which other angles could be in that isosceles triangle? choose all that apply.
    6·1 answer
  • Two numbers are graphed on the line below. Consider the inequality t
    12·2 answers
  • Help ASAP need answer:)
    7·2 answers
  • Find the slope. Pls help ill give brainliest ^^
    14·1 answer
  • Vary hard 11th grade test paper
    15·1 answer
  • Which expression is equivalent to 7 (x y)?
    5·1 answer
  • You can buy 5 cans for green beans at the Village Markets for $3.70. You can buy 10 of the same cans of beans at Sam’s Club for
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!