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
grigory [225]
2 years ago
12

Is (1, 3) a solution to the system of equations listed below? (1 point) y= 6x -3 y = x - 2

Mathematics
1 answer:
ololo11 [35]2 years ago
7 0

Answer:

The solution for given system of equation is: x=\frac{1}{5}\:and\:y=\frac{-9}{5} and ordered pair is: \mathbf{(\frac{1}{5},\frac{-9}{5})}

So, (1,3) is not solution to the given system of equations.

Step-by-step explanation:

we can solve the system of equations to find the value of x and y and then verify if (1,3) is a solution or not.

The system of equation given is:

y=6x-3\\y=x-2

Solving:

Let:

y=6x-3--eq(1)\\y=x-2--eq(2)

Put value of y from equation 2 into equation 1

y=6x-3\\Put\:y=x-2\\x-2=6x-3\\x-6x=-3+2\\-5x=-1\\x=\frac{-1}{-5}\\x=\frac{1}{5}

Now, put value of x in equation 2 to find value of y

y=x-2\\Put\:x=\frac{1}{5} \\y=\frac{1}{5} -2\\y=\frac{1-2*5}{5} \\y=\frac{1-10}{5}\\ y=\frac{-9}{5}

So, the solution for given system of equation is: x=\frac{1}{5}\:and\:y=\frac{-9}{5} and ordered pair is: \mathbf{(\frac{1}{5},\frac{-9}{5})}

So, (1,3) is not solution to the given system of equations.

You might be interested in
What is the value of<br> x 2 - 14 when x = 9?
Nonamiya [84]

Answer:

4.

Step-by-step explanation:

9(2) = 18

18-14=4

5 0
3 years ago
Read 2 more answers
Help me please I put 50 points idk how much it actually gives
tatuchka [14]

You weren't clear on instructions

7 0
3 years ago
Read 2 more answers
Solve the equation 4x^2 + 24x + 13 = 2x^2+ 6x to the nearest tenth.
Licemer1 [7]

Answer:

-0.8 and -8.2

Step-by-step explanation:

To solve a quadratic you first need to have one side of the equation equal to zero (because x-intercepts are when y is zero).

4x^2 + 24x + 13 = 2x^2 + 6x

2x^2 + 18x + 13 = 0

Then you can use the quadratic formula to solve for x. You will then come to

-18 ± sqrt(220) / 4

This will simplify out (rounding to the nearest tenth) to -0.8 and -8.2

6 0
3 years ago
What is the annual share of the profit awarded to the owner of a share of stock called?
madam [21]
I think its common stock
5 0
3 years ago
What is the area of the triangle?
Luda [366]

Answer:

270cm^2

Step-by-step explanation:

The side length is irrelevant and does not matter.

The area of a triangle is found by multiplying the base by the height and then dividing that by two.

For this problem it would be...

30*18=540

540/2=270

So the area would be 270cm^2

3 0
3 years ago
Other questions:
  • What is the quotient (125 – 8x3) ÷ (25 + 10x + 4x2)? –2x + 5 2x – 5 –2x – 5 2x + 5
    14·2 answers
  • 12345 what is the answer if you multiply 1x2x3x4x5 and do the same with subtraction, addition and devision, in that order. Then
    6·1 answer
  • I need help <br><br> Circle P is below
    7·2 answers
  • Students sold 400 tickets to the spring band concert. The students sold adult and child (under 12 years old) tickets. Each adult
    15·1 answer
  • Help!!!!!! red car travels 17 2/5 miles useing 0.75 of gas. please answer today
    15·1 answer
  • 5/6 + (-3/4) please help me out quick thank you
    12·1 answer
  • Ming has $7:35 in quarters and nickels. She had a total of 79 coins. How many quarters and how many nickels does she have
    8·2 answers
  • Pleaseeee helpppppppppp
    5·1 answer
  • Three orders are placed at a pizza shop.
    10·1 answer
  • Which equation represents a line which is parallel to the line 2x+y=-82x+y=−8?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!