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
Alex777 [14]
2 years ago
12

How many solutions are there to the system of equations? {-4x - 5y = 5 -0.08x + 0.10y = 0.10} A) no solutions B)one solution C)t

wo solutions D)an infinite number of solutions
Mathematics
1 answer:
SVEN [57.7K]2 years ago
5 0

Answer:

<h2>B) one solution</h2>

Step-by-step explanation:

Given the system of equations -4x - 5y = 5  and -0.08x + 0.10y = 0.10, to know the number of solutions the system of equation has, we need to solve for the values of x and y if possible.

-4x - 5y = 5... 1

-0.08x + 0.10y = 0.10... 2

Multiplying equation 2 by 100 will give -8x+10y = 10

The resulting system of equation will be;

-4x - 5y = 5 ...3 * 8

-8x + 10y = 10... 4 * 4

Using the elimination method to solve the equation, multiplying eqn 3 by 8 and eqn 4 by 4 we have;

-32x-40y = 40

-32x+40y = 40

Subtracting both resulting equations to eliminate x will give;

-40y-40y = 0

-80y = 0

y = 0

Substituting y = 0 into equation 3 to get x we have;

-4x-5(0) = 5

-4x = 5

x = -5/4

The solution to the system of equations is (0, -5/4). This shows that the system of equations only <u>has one solution</u>

You might be interested in
Y = -3x - 2 and 5x + 2y = 15
denis-greek [22]

Answer:

(-19, 55)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -3x - 2

5x + 2y = 15

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                     5x + 2(-3x - 2) = 15
  2. Distribute 2:                          5x - 6x - 4 = 15
  3. Combine like terms:            -x - 4 = 15
  4. Isolate <em>x</em> term:                      -x = 19
  5. Isolate <em>x</em>:                               x = -19

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    y = -3x - 2
  2. Substitute in <em>x</em>:                                     y = -3(-19) - 2
  3. Multiply:                                                y = 57 - 2
  4. Subtract:                                               y = 55
8 0
3 years ago
What is the value of x
dedylja [7]
89 squared. The hypotenuse is equal to 9.434 which is 89 squared.
4 0
3 years ago
What set of reflections would carry hexagon ABCDEF onto itself?
k0ka [10]

Answer:

Took FLVS test and got it right

A. y=x, x-axis, y=x, y-axis.

Step-by-step explanation:

Took FLVS test and got it right

A. y=x, x-axis, y=x, y-axis.

8 0
2 years ago
Y = 2x<br> 3x-y=15<br><br> Solve By Substitution
Minchanka [31]
The answer is X=15...
6 0
3 years ago
Read 2 more answers
Jeremy spends $4.00 for breakfast and then spends $4.00 for lunch
vazorg [7]

Answer:

He spends 8 dollars

Step-by-step explanation:

4 + 4 = 8

Hopefully this helps you :)

pls mark brainlest ;)

3 0
3 years ago
Other questions:
  • What does 3cm by 7cm mean
    8·2 answers
  • Analyze each product in the table.
    5·1 answer
  • Help me solve this conversions problem
    5·2 answers
  • Goldie Goldfish, a speed swimmer, loves to race around the park’s pond, which is about 0.5 miles around. If she can swim 20 laps
    10·1 answer
  • I need to know how to answer this if someone could explain it step by step thanks!
    5·1 answer
  • The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions. Suppose a sample of 400 U.S. workers is
    14·1 answer
  • How many points will I get if I get 60 points every 5 mins and it goes on for 4 hours?
    10·2 answers
  • Use the similar triangles to find the slope on the lines??? Hello plzzz
    9·2 answers
  • tim's current bank balance is $75. he adds a charge of -$31 when he buys lunch for him and his friend. write and expression and
    10·1 answer
  • HELPPPPPPPPPPP MEEEEEEEEEEEEEE
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!