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
Pavel [41]
3 years ago
11

Solve system of equation algebraically y = 2x - 3 x + y = 18

Mathematics
2 answers:
Troyanec [42]3 years ago
8 0

Answer:

X=3 Y=15

Step-by-step explanation: First you need to use the problem 18/2=x to find the value of x. Now to find the value of y, you need to subtract 3 from 18.  Then you solve

15=2(9)-3 15+3=18

natima [27]3 years ago
3 0

Answer:

x = 7

y = 11

Step-by-step explanation:

Given the system;

y = 2x - 3

x + y = 18

1. Approach

The easiest way to solve this system of equations is to solve the second equation for the variable (y). Then add the systems, use algebra to solve for the value of (x), then substitute that value back into one of the original equations to solve for the value of (y). Another name for the method in use is the method of elimination, this is when a [erspm manipulates one of the equations in a system of the equation such that when they add the equations, one of the variables eliminatates. Thus, they can solve for the other variable and the backsolve for the value of the unknown variable.

2. Solve one of the equations for a variable

Manipulate the system such that each equation is solved for the same variable,

x + y = 18

Inverse operations,

x + y = 18

-18        -18

x + y - 18 = 0

   -y         -y

x - 18 = -y

3. Use elimination

Now substitute this back into the original system,

y = 2x - 3

-y = x - 18

Add the systems,

y = 2x - 3

-y = x - 18

_________

0 = 3x - 21

Inverse operations,

0 = 3x - 21

+21       +21

21 = 3x

/3    /3

7 = x

4. Find the value of the unknown variable

Backsovle to find the value of (y),

x + y = 18

Substitute,

7 + y = 18

Inverse operations,

7 + y = 18

-7        -7

y = 11

You might be interested in
(30 POINTS AND BRAINLIEST FOR BEST)
Romashka-Z-Leto [24]

Part A)

Multiply the amount he earned by 8.5%

8.5% written as a decimal is 0.085.

75,000 x 0.085 = $6,375

Part B)

Subtract the amount of tax from his earnings:

75,000 - 6,375 = $68,625

8 0
3 years ago
If the total perimeter of the trail is 231ft, what is the length of the cave? (2 points)
valentinak56 [21]

Answer: yes it is indeed your very smart

8 0
3 years ago
12(43)
IrinaVladis [17]
I’m not entirely sure how to answer this without a word problem, but from what I see, all you have to do is multiply the two numbers.
12 x 43= 516
5 x 88 = 440
8x 63= 504
7 x 28= 196
Usually, when you see a number followed by another number in parentheses, like here, that means to multiply.
3 0
3 years ago
Read 2 more answers
Short=5 hypotenuse=10 long=
Leviafan [203]
I hope this helps you



10^2=5^2+x^2



100-25= x^2


x= 5 square root of 3
5 0
3 years ago
Read 2 more answers
What is 5 tenth of 2 tenth
Fudgin [204]
5/10 and 2/10 beacuse tenth is the bottom number
4 0
3 years ago
Read 2 more answers
Other questions:
  • You have a bag of bubble gum containing six grape, nine sour apple and five regular flavored pieces. You randomly pick one piece
    7·1 answer
  • How many degrees are in the sum of the interior and exterior angles of a polygon having 5 sides?
    10·1 answer
  • HELP I WILL MARK YOU AS A BRAINLIEST!!!
    12·1 answer
  • Phil has 18 shirts, 24 pairs, of pants, and 16 pairs of shoes in his closet, but one of the shirts is his favoritw. How many com
    5·2 answers
  • 150 centimeters is equivalent to
    10·2 answers
  • Mr. Vander Heydens tie costs 3 times as much as Mr bentelys tie. Together they spent $128. What what the price of each of their
    8·1 answer
  • What are the factors of 27
    8·2 answers
  • there are 30 cities in a country. Each city has 4 highways coming out of it. How many highways connecting 2 cities are there in
    6·1 answer
  • Need help Will give you the brainliest
    11·1 answer
  • Please help I don’t know how to do thai
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!