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
Karolina [17]
3 years ago
10

Solve: 2x - 3y = 9 and x + 2y = 1​

Mathematics
1 answer:
mash [69]3 years ago
4 0

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = 9 → (1)

x + 2y = 1 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = 1 - 2y → (3)

Substitute x = 1 - 2y into (1)

2(1 - 2y) - 3y = 9

2 - 4y - 3y = 9

- 7y + 2 = 9 ( subtract 2 from both sides )

- 7y = 7 ( divide both sides by - 7 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 1 - 2(- 1) = 1 + 2 = 3

solution is (3, - 1 )

You might be interested in
Fine the product:3 x 5 (2)
Delvig [45]

Answer:

30 because 3 x 5=15 then x2 it's 30

3 0
2 years ago
Please help me out :)
Nana76 [90]

Answer:

kjhgfdzvbjhgfxzawertyuikmnbsertyujnbv

7 0
2 years ago
Find an equation of the line through the given point and perpendicular to the given line
s344n2d4d5 [400]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is

y = 2x - 2

Comparing with the slope intercept form,

Slope, m = 2

This means that the slope of the line that is perpendicular to it is -1/2

The given points are (-3, 5)

To determine c,

We will substitute m = -1/2, y = 5 and x = - 3 into the equation, y = mx + c

It becomes

5 = -1/2 × - 3 + c

5 = - 3/2 + c

c = 5 + 3/2

c = 13/2

The equation becomes

y = -x/2 + 13/2

4 0
3 years ago
Charles bought 3 Chinese dishes yesterday. Each of the dishes cost $15.25. How much did he spend on Chinese food?
emmasim [6.3K]
I believe the answer is $45.75.
I hope this helps.
If you would like an explanation of how I got this, please reply.
7 0
3 years ago
What is the hypothenuse of a right triangle with bases 13cm and 5cm?
NikAS [45]
To find the hypothenuse use Pythagorean theorem: 13²+5²=h²,
h=√13²+5²=13.93cm = hypothenuse.
5 0
3 years ago
Other questions:
  • What do you divide -81 to get +81?
    7·1 answer
  • Help 10 minutes please
    12·1 answer
  • What is 0.1 as hundredths in fraction form and decimal form?
    12·2 answers
  • An animal shelter has 14 puppies. If the puppies are 28% of the total dog and cat population, how many dogs and cats are in the
    10·1 answer
  • P(x)=2x^4-x^3+2x^2-6. What is the remainder when P(x) is divided by (x-2)?
    13·1 answer
  • How to find the radius of a circle?
    5·1 answer
  • Which statement(s) most directly apply to communism?
    8·2 answers
  • Which expression represents the quotient of d and 11​
    8·1 answer
  • What number times itself is 1,225?
    15·2 answers
  • NEED HELP ASAP WORTH LOTS OF POINTS
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!