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
tekilochka [14]
3 years ago
6

-3x + 2y = 21 -4x + y = 23

Mathematics
2 answers:
konstantin123 [22]3 years ago
7 0

Answer: x=-5 and y=3

Step-by-step explanation:

-3x + 2y = 21 ............ Eq 1

-4x + y = 23 .............. Eq2

In eq 2,let's make y the subject of the formula ; add 4x to both sides to get : - 4x + 4x + y = 23 + 4x

Which gives: y = 23 + 4x .... Eq3

Put this value of y into eq 1 to get;

-3x + 2(23 + 4x) = 21

Which gives: - 3x + 46 + 8x = 21

Which givea; 5x + 46 = 21

Subtract 46 from both sides to get;

5x + 46 - 46 = 21 - 46 to get

5x = - 25

Divide both sides by 5;

5x/5 = - 25/5

Therefore, x = - 5

Now,put - 5 for x in Eq3;

y = 23 + 4(-5)

y = 23 - 20

y = 3

Therefore the solution to the question is x=-5 and y=3

Nady [450]3 years ago
5 0

Answer:

2y = 3x + 21

y = 1.5x + 10.5

plug in, in the second equation

- 4x + (1.5x + 10.5) = 23

-4x + 1.5x + 10.5 = 23

-2.5x + 10.5 = 23

-2.5x = 12.5

x = 12.5/-2.5 = -5

y = 1.5 (-5) + 10.5 = 3

x = -5

y = 3

You might be interested in
Please help me with this question
SIZIF [17.4K]
-3/4x+6 < A < 4x
hope this helps
6 0
2 years ago
Sebastian programs his calculator to cvaluate a linear
jonny [76]

Answer: y = 3/4x

Step-by-step explanation:

Each y-value output is 3/4 of the x-value inputted.

8 x 0.75 = 6

12 x 0.75 = 9

3 0
3 years ago
Item 15<br> Find the sale price.<br> Original price: $50<br><br> Discount: 15%
amm1812

Answer:

$42.5

Step-by-step explanation:

Find how much is 15% of 50 first

(15/100)×50=$7.5

$7.5 is the amount that will be discounted so

$50(original price)-$7.5(discount)=$42.5

7 0
3 years ago
Abox of cereal states that there are 81 calories in a
ryzh [129]

Answer:

20.25 per cup because 81÷4= 20.25 then

1) read the label=81 per 4-cups

2) 20.25x4=82 calories

Step-by-step explanation:

hope this helps :D

4 0
3 years ago
(2x-3)^2=49<br><img src="https://tex.z-dn.net/?f=%282x%20-%203%20%29%20%5E%7B2%7D%20%3D%2049" id="TexFormula1" title="(2x - 3 )
inna [77]
(2x-3)^2=49\iff2x-3=\pm\sqrt{49}\\\\2x-3=-7\ \vee\ 2x-3=7\ \ \ |+3\\\\2x=-4\ \vee\ 2x=10\ \ \ \ |:2\\\\x=-2\ \vee\ x=5
5 0
3 years ago
Other questions:
  • Sam is the perpendicular bisectors of tr. angle tsr=120. Find angle str
    5·1 answer
  • If 265 identical boxes, each containing 24 books, weighs a total of 12,720 pound, how much does each book weigh?
    15·1 answer
  • Total pay before deductions is known as
    5·1 answer
  • Pizza palace charges $x
    6·1 answer
  • There are 260 athletes at a meeting. They each give a Valentine's Day card to everyone else. How many cards were given?
    15·1 answer
  • Please help algebra 20 points!!!!!!!
    14·1 answer
  • (10pts) find all the solutions to the equations.
    7·2 answers
  • 3 divided by what equals -8.16
    10·1 answer
  • The owner expects you to hand wash each coffee pot before the coffee shop opens. It takes 10 minutes for all of the coffee pots
    15·2 answers
  • What is the greatest common factor of 60, 84 and 126?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!