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
JulsSmile [24]
3 years ago
5

2x+3y=12 x-y=6 solve the following system equations

Mathematics
1 answer:
IgorC [24]3 years ago
5 0

Answer:

(6, 0)

Step-by-step explanation:

There are a few different methods to solve system of equations.  For this problem, you can use substitution by solving one of the equations for a variable and then substituting this expression into the other equation to solve for the remaining variable:

x - y = 6, add 'y' to both sides to solve for 'x':  x - y + y = 6 + y or x = 6 + y

Using the expression '6 + y' for the value of 'x' in the second equation:

2x + 3y = 12 or 2(6+y) + 3y = 12 or 12 + 2y + 3y = 12 or 12 + 5y = 12

Subtract 12 from both sides: 12 + 5y - 12 = 12 - 12 or 5y = 0 so y = 0

Now that you know the value of 'y', you can solve for 'x':

x = 6 + 0 or x = 6

Put the values of 'x' and 'y' into an ordered pair: (6,0).

You might be interested in
MODELING REAL LIFE There are a total of 64 students in a filmmaking club and a yearbook club. The filmmaking club has 14 more st
VashaNatasha [74]

Answer:

The system of linear equations is x + y = 64 and x = y + 14.

Given that,

The total number of students is 64 .

Here we assume the x be the number of students in filmmaking club .

And, y be the number of students in yearbook club.

Based on the above information, the calculation is as follows:

x + y = 64

And,

x = y + 14

Therefore,

We can say that

Number of students in yearbook club = 25

And, the number of students in filmmaking club = 39

3 0
2 years ago
when coloring in a grid to show a fraction, what does 3/10 look like when the grid represents a whole
Katarina [22]

Answer:

3 of 10 grid squares making up the whole will be colored.

Step-by-step explanation:

1/10 is one of ten equal parts. 3/10 is three of those ten equal parts. Essentially, the fraction 3/10 means "three out of ten".

_____

If the whole is divided into more than 10 parts, 3/10 will be 3 out of every 10. So if there are 20 parts, for example (2 tens), the 3/10 will be 6 of those parts (3 of each of the two tens).

5 0
2 years ago
What's the greatest common factor of: 2*2*2*2*3*3*3*5*2*2*3*3*3*7
erastova [34]

the greater common factor is : a.2

5 0
3 years ago
Read 2 more answers
What is the first step when applying properties of operations to divide 73.85 by 4.1?
Alchen [17]

Answer:

B. Multiply the divisor and dividend by 100.

Step-by-step explanation:

Multiply by 100 to get rid of the decimal

5 0
2 years ago
Suppose that the auto loans from a bank are normally distributed with a mean of $23,334 and a standard deviation of 3,412. what
UkoKoshka [18]
To illustrate the information in the correct syntax:
X~N(23334, 3412²)
What we're being asked to find is P(X ≤ 26000).
In order to do this, we need to convert this value into one we can look up on the table for the standard normal distribution (Z).
To do this we use the formula:
Z = (X - μ)/σ
Z = (26000 - 23334)/3412 = 0.7813599... ⇒ 0.78
We can say:
P(X ≤ 26000) = P(Z ≤ 0.78) = 0.7823
4 0
2 years ago
Other questions:
  • Please help! 45 points. Serious, explained answers only :)
    8·1 answer
  • The weight of an object on Mars varies directly with its weight on Earth an object that weighs 50 pounds on Mars weighs 150 lbs
    15·1 answer
  • Two sides of a triangle are 15 mm and 10 mm. The perimeter of the triangle is 35 mm. What's the third side?
    8·1 answer
  • What does it mean to factor an expression?
    11·1 answer
  • Courtney got 64 out of 75 correct on a test. What is the best estimate of the percent Courtney got correct?
    7·2 answers
  • Jazmyn is baking and selling cupcakes for $15 per dozen. She would like to make more than $120 in cupcake sales. Which number li
    15·1 answer
  • Hii please help i’ll give brainliest if you give a correct answer
    12·2 answers
  • Two trucks started toward each other at the same time from towns 500 km apart. One truck traveled at a rate of 65 km per hour wh
    6·1 answer
  • What is the inverse of the function f(x) = -6x - 7​
    5·1 answer
  • in a biology course, students spend 250 minutes in a lab and lecture each week. the lab time is 20 minutes shorter than the lect
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!