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
SSSSS [86.1K]
2 years ago
14

Given the system of equations, what is the solution? 2x + y = 7 2x - 3y = -1

Mathematics
2 answers:
eduard2 years ago
5 0

Answer: Point Form - (5/2, 2) Equation Form - 5/2, y = 2

Step-by-step explanation:

Lana71 [14]2 years ago
5 0

Answer:

(\frac{5}{2}, 2)

Step-by-step explanation:

Hi there!

We are given this system of equations:

2x + y = 7

2x - 3y = -1

And we want to find the solution

There are multiply ways to solve systems of equations, but let's solve this one by elimination, where we will add the two equations together to clear one of them, solve for the un-cleared variable, and then use the value of the un-cleared variable to solve for the cleared one

Before clearing a variable, we need to make sure that the signs on the variables are opposites; for example, -3 and 3, which will add together to get 0

We can multiply the equations beforehand if needed in order to manipulate the numbers.

For example, we can multiply the second equation by -1 in order to switch the signs of each number in that equation:

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

-2x+3y=1

Now the signs in front of x are 2 and -2, so we can add the equations together to clear them:

2x + y = 7

-2x + 3y = 1

Add the equations together

4y = 8

Divide both sides by 4

y=2

Now let's use 2 as y to solve for x

In the first equation, substitute 2 for y:

2x + 2 = 7

Subtract 2 from both sides

2x = 5

Divide both sides by 2

x=\frac{5}{2}

As a point, the answer is (\frac{5}{2}, 2)

Hope this helps!

You might be interested in
Step by step 579÷3 plz i need help
ololo11 [35]
579/3 fist you divid 5 by 3 than you subtract them and get two than you bring down your seven and have 27 divided by 3 and that is 9. than you bring down your last number and than you come up with an answer of 193.
8 0
3 years ago
Read 2 more answers
In the given figure, find m∠RST, if m∠RSU = 43º and m∠UST = 23º.
pickupchik [31]

Applying the angle addition postulate, the measure of angle RST is: 66°.

<h3>What is the Angle Addition Postulate?</h3>

If two angles share a common vertex and a common side, they are adjacent angles that form a larger angle. According to the angle addition postulate, the sum of these two adjacent angles will give a sum that is equal to the measure of the larger angle they both form.

We know the following:

Measure of angle RSU = 43º

Measure of angle UST = 23º

In the diagram given, angle RSU and angle UST are adjacent angles that form a larger angle, angle RST.

Therefore, based on the angle addition postulate, the measure of angle RST = sum of the measures of angles RSU and UST.

Therefore, we would have:

m∠RST = m∠RSU + m∠UST

Substitute

m∠RST = 43 + 23

m∠RST = 66°

Learn more about the angle addition postulate on:

brainly.com/question/24746945

#SPJ1

8 0
1 year ago
Darnell and Lance are both saving money. Darnell currently has $40 and is saving $5 each week. Lance has $25 and is saving $8 ea
Romashka [77]

Answer:

the answer is 1,203 because your finding the unit price.

Step-by-step explanation:

4 0
2 years ago
Susan ran 4 miles in 20 minutes. How many minutes will she take to walk 3 miles
inn [45]

Answer: 15

Step-by-step explanation:

4/20 is your ratio. Simplify it and it'd be 1/5. This means in 1 mile has been walked in 5 minutes. 3 x 5 is 15, so it took Susan 15 minutes.

6 0
3 years ago
How many letters in the word MATH have more than one line of symmetry? A. 4 B. 2 C. 1 D. 3
Semmy [17]
The correct answer is B. 2
6 0
3 years ago
Read 2 more answers
Other questions:
  • In an orienteering competition , jada walks N70W for 200 meters. she then walks due eat for 90 meters. how far and at what beari
    11·1 answer
  • Solve the inequality <br><br> 6(x-3)/8≥3
    8·1 answer
  • Consider the function ​f(x)equalscosine left parenthesis x squared right parenthesis. a. Differentiate the Taylor series about 0
    14·1 answer
  • Randomization in an experiment is important because it ensures that
    5·1 answer
  • What do we call a polynomial with 5 terms
    9·1 answer
  • Pls help me with these 2 math question will mark brainiest.
    6·2 answers
  • Is the given function continuous at x=1?
    11·1 answer
  • How to write 1/4 as a decimal number.
    8·2 answers
  • A tractor travels at an average speed of 36km/hr for 10 sec.calculate the distance the tractor covers in 10 sec​
    7·2 answers
  • Mrs. 1 ran 10 meters in 3.8 seconds. Mrs. 2 ran 10 meters in 3.2 seconds.<br> Who ran faster?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!