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
Dennis_Churaev [7]
3 years ago
14

Solve by using substitution or elimination by addition

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0

Answer: A. The unique solution to the system is (1,-5)

Step-by-step explanation:

 You can follow these steps to solve the system of equations by the Elimination Method:

- Multiply the first equation by -3 and the second equation by 2.

- Add both equations and solve for "y".

Then:

\left \{ {{-3(2x - 5y) = -3(27)} \atop {2(3x + 2y)= 2(-7)}} \right.\\\\\left \{ {{-6x +15y = -81} \atop {6x + 4y= -14}} \right.\\..............................\\19y=-95\\y=-5

- Substitute the value of "y" into any original equation to find the value of "x". Then:

2x - 5(-5) = 27\\\\2x=27-25\\\\2x=2\\\\x=1

Therefore, the unique solution to the system is (1,-5)

You might be interested in
A scuba diver is swimming at a constant rate towards a sinking ship. The equation
Arturiano [62]

Answer:

From a starting point of 6 meters below sea level, the scuba diver is decending 14 meters per minute.

Step-by-step explanation:

it y intercept is -6 which is why its below sea level and the slope is -14 which is why its decending

3 0
3 years ago
Jack broke apart 5x216 as (5x200)+(5x16) to multiply mentally. What strategy did Jack use?
Sveta_85 [38]

For this case we have the following multiplication:

5 * 216

We can rewrite this multiplication in the following way:

5 * (200 + 16)

From here, we apply the distributive property.

We have then:

(5 * 200) + (5 * 16)

Therefore, Jack's strategy is:

Write the number in an expanded form and then apply the distributive property.

Answer:

Jack's strategy is:

Write the number in an expanded form and then apply the distributive property.

8 0
4 years ago
Read 2 more answers
What is the volume of a cube that measures 3.5 inches on each edge?
Bas_tet [7]

Answer:

42.9 in

Step-by-step explanation:

Volume of a cube = side cubed

V = (3.5)^3

V = 42.875

4 0
3 years ago
The volume of a tennis ball is 8 cubic inches. What is the radius?
aleksklad [387]
24 is the correct answer:)
4 0
4 years ago
Divide 3ab by 2c in algebraic expression
Llana [10]

Answer:

\frac{3ab}{2c}

Step-by-step explanation:

An algebraic expression is an expression consists of constants, variables, and the algebraic operations: addition, subtraction, multiplication and division.

Given: algebraic expressions are 3ab,2c.

To divide: 3ab by 2c

Solution:

\frac{3ab}{2c}

There are no common terms in numerator and the denominator.

So, answer is \frac{3ab}{2c}

8 0
3 years ago
Other questions:
  • Can someone plz help me with this?
    8·1 answer
  • An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram c
    7·1 answer
  • Jessica must plant 351 trees. In the past 6 days Jessica planted 234 trees. If she continues at this rate how many more days wil
    12·1 answer
  • I'll mark you as the brainiest if you get this correct thx xxx This homework is due tomorrow thx sm for your help
    12·1 answer
  • TAKE 50 POINTS!!!!!!please Someone HELP.JUST look the picture. ​
    7·1 answer
  • Please let me know if these are correct as soon as possible! 20 Points!
    5·1 answer
  • Sawyer got a gift card for his birthday and
    9·1 answer
  • Find vertex and axis of symmetry <br> -3(x-4)^2+1
    7·1 answer
  • 3. Which of the following has a value of 13? (5.02.2)
    6·1 answer
  • Find the distance between the pair of points.(-5, -8) and (4,4). What is the distance?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!