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
hammer [34]
1 year ago
15

Solve each pair of simultaneous equations by elimination method.a) 2x+3y-1=0 5x+2y+3=0​

Mathematics
2 answers:
My name is Ann [436]1 year ago
7 0

Answer:

x = -1

y = 1

Step-by-step explanation:

<h2>PART I: Find the y-value</h2>

<u>Given expressions</u>

1) 2x + 3y - 1 = 0

2) 5x + 2y + 3 = 0

<u>Add 1 on both sides of the 1) equation:</u>

2x + 3y - 1 + 1 = 0 + 1

2x + 3y = 1

<u>Subtract 3 on both sides of the 2) equation:</u>

5x + 2y + 3 - 3 = 0 - 3

5x + 2y = -3

<u>Current System</u>

1) 2x + 3y = 1

2) 5x + 2y = -3

<u>Multiply 2.5 on both sides of the 1) equation</u>

(2.5) 2x + (2.5) 3y = (2.5) 1

5x + 7.5y = 2.5

<u>Current System</u>

1) 5x + 7.5y = 2.5

2) 5x + 2y = -3

<u>Subtract 2) equation from 1) equation</u>

(5x + 7.5y) - (5x + 2y) = 2.5 - (-3)

<u>Get rid of the parenthesis </u>

5x + 7.5y - 5x - 2y = 2.5 + 3

<u>Combine like terms</u>

5x - 5x + 7.5y - 2y = 5.5

0 + 5.5y = 5.5

5.5y = 5.5

<u>Divide 5.5 on both sides</u>

5.5y / 5.5 = 5.5 / 5.5

\boxed{y=1}

<h2>PART II: Find the x-value</h2>

<u>Substitute the y-value back to one of the equations to find the x-value</u>

2x + 3y - 1 = 0

2x + 3(1) - 1 = 0

<u>Combine like terms</u>

2x + 3 - 1 = 0

2x + 2 = 0

<u>Subtract 2 on both sides</u>

2x + 2 - 2 = 0 - 2

2x = -2

<u>Divide 2 on both sides</u>

2x / 2 = -2 / 2

\boxed{x=-1}

Hope this helps!! :)

Please let me know if you have any questions

Tanzania [10]1 year ago
5 0
Make x the subject
2x = -3y + 1
5x = -2y -3

now times the answers to get the lcd

(2x = -3y + 1) x 5
10x = -15y + 5

(5x = -2y -3) 2
10x = -4y -6

now that they are equal to the same number:
-15y + 5 = -4y -6
-15y + 4y = -6 -5
-11y = -11
y = 1

now to find x we substitute y
2x = -3y + 1
2x = -3(1) + 1
2x = -3 + 1
2x = -2
x = -1


You might be interested in
Solve for y: y+6=5(x-4)
lbvjy [14]

Answer:

Step-by-step explanation:

y+ 6= 5(x-4)

y + 6= 5x-20

   -6 .      -6

 ----------------

y= 5x-26

6 0
3 years ago
the angle of depression from the top ski lift is 57 degrees if the vertical distance from the top and bottom ot the lift is 1200
dedylja [7]

Answer:

1200

Step-by-step explanation:

ghgvhjhv g fty ftvyuibn

7 0
3 years ago
4 of 7
faltersainse [42]
I think it is 4 cause I love u
8 0
3 years ago
Classify the polynomial according to its degree and number of terms 3x^2+8x​
Sunny_sXe [5.5K]

Answer:

Classifying Polynomials

Polynomials can be classified two different ways - by the number of terms and by their degree.

1. Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Examples:

5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.

3x4+4x2The highest exponent is the 4 so this is a 4th degree binomial.

8x-1 While it appears there is no exponent, the x has an understood exponent of 1; therefore, this is a 1st degree binomial.

5 There is no variable at all. Therefore, this is a 0 degree monomial. It is 0 degree because x0=1. So technically, 5 could be written as 5x0.

3x2y5 Since both variables are part of the same term, we must add their exponents together to determine the degree. 2+5=7 so this is a 7th degree monomial.

Classify these polynomials by their degree.

1.7x3+52+1

2.6y5+9y2-3y+8

3.8x-4

4.9x2y+3

5.12x2

Answers 1) 3rd degree 2) 5th degree 3) 1st degree 4) 3rd degree 5) 2nd degree

6 0
3 years ago
If 40% is equal to the fraction X over 30 what is the value of X
Fofino [41]

Answer: the answer is 12

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Need quick math help please :\
    7·1 answer
  • Nathaniel is usin the quadratic formula to solve 0 = x^2+5x - 6
    10·2 answers
  • A recipe requires 3/4 cup of nuts for 1 cake. Enter the maximum number of cales that can be made using 7 1/2 cups of 
    9·1 answer
  • Jill’s front door is 42” wide and 84” tall. She purchased a circular table that is 96 inches in diameter. Will the table fit thr
    10·1 answer
  • Draw the graph of the function f(x) = 2 * ⌈x⌉ for the domain -2 &lt; x &lt; 1 .
    6·1 answer
  • Which value is a solution of the equation 5 - 4x=-3
    9·1 answer
  • What is the probability of getting tails 4 times in a row while flipping a coin?
    10·1 answer
  • Find the area of the figure fast​
    14·2 answers
  • TOT ROLIOS
    15·1 answer
  • How many quarts are in 3 gallons
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!