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
Step2247 [10]
1 year ago
8

4x + 5y = 3 2x + 3y = 1Solve by elimination

Mathematics
1 answer:
Lesechka [4]1 year ago
7 0

Answer:

The solution to the system of equations is:

x = 2, and y = -1

Explanation:

Given the pair of equations:

4x + 5y = 3 ..........................................................................(1)

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

To solve this by elimination:

Multiply equation (2) by 2, to eliminate x

Equation (2) becomes

4x + 6y = 2 .........................................................................(3)

Subtract equation (1) from (3)

4x - 4x + 6y - 5y = 2 - 3

y = -1 ....................................................................................(4)

Multiply equation (1) by 3 and equation (2) by 5 to eliminate y

Equation (1) becomes

12x + 15y = 9 .......................................................................(5)

Equation (2) becomes

10x + 15y = 5 ........................................................................(6)

Subtract equation (6) from (5)

12x - 10x + 15y - 15y = 9 - 5

2x = 4

Divide both sides by 2

x = 4/2 = 2 ............................................................................(7)

From equations (7) and (4)

x = 2, and y = -1

You might be interested in
Which of the following could be an example of a function with a domain (-infinity, infinity) and a range (2,infinity) ? Check al
frosja888 [35]

Answer:

1234

Step-by-step explanation:

8 0
2 years ago
Find the area of the sector in<br> terms of pi.<br> 120°<br> 24<br> Area = [?] π<br> Enter
Nady [450]
Sector area= theta/360 x πr^2

Radius= 24/2= 12

Sector area= 120/360 x π(12)^2

Final answer :

Sector area = 48π
3 0
2 years ago
Two parallel lines are crossed by a transversal. What is the value of h? h = 60 h = 80 h = 100 h = 120
lisabon 2012 [21]
I added the diagram of the question.

<u><em>Answer:</em></u>
h = 60°

<u><em>Explanation:</em></u>
We are given that lines k and l are parallel lines.
This means that angles 120° and h are <u>supplementary angles</u>.
This means that their measures <u>add up to 180°</u>

<u>Therefore:</u>
180° = 120° + h
h = 180° - 120°
h = 60°

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Say you wanted to give someone 35000 berries, but every time you give someone berries, it takes away 30%. How could you calculat
VladimirAG [237]

Answer:

What I understand is that I need to give someone an exact number so that when 30% is taken, they keep exactly 35,000

To make the statement above true, we would need to divide 35,000 by 7 since the answer would be 10% of the number we need. Once we do this we get 5000 which is 10% now we multiply 5000 by 10 to get 100% and we get 50.000 once we give this amount to the person and 30% is taken away they are left with 35,000

5 0
2 years ago
1 point) Are the functions f,g, and h given below linearly independent? f(x)=e3x+cos(5x), g(x)=e3x−cos(5x), h(x)=cos(5x). If the
Fynjy0 [20]

Answer:

Functions are linearly dependent (are not linearly independent.)

Step-by-step explanation:

Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the <em>only solution</em> to the equation

\alpha f(x)+\beta g(x)+\omega h(x)=0, \ \text{for all } x\in I

is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.

Now, let f(x), g(x) and h(x) be the functions:

f(x)=e^{3x}+\cos(5x),

g(x)=e^{3x}-\cos(5x),

h(x)=\cos(5x).

Then, letting α = 1, β= -1 and ω = -2, we see that:

\alpha f(x)+\beta g(x)+ \omega h(x)=e^{3x}+\cos(5x)-e^{3x}+\cos(5x)+2\cos(5x)=0.

Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.

8 0
3 years ago
Other questions:
  • Vlad wants to determine the rate at which the price increases as the mass of the watermelons his neighbor sells increases. What
    6·2 answers
  • wayne has a recipe on a 3inch by 5inch index card that he wants to enlarge to 15 inches long. how wide will the enlargement be?
    7·1 answer
  • What is the height of the pole?<br> please help asap
    11·2 answers
  • How many one-degree angles are in a 70 degree angle?
    6·1 answer
  • What is the unit rate of a 13-oz. package of pistachios that costs $5.99?
    7·1 answer
  • Wat is the greatest common factor of 20 and 36
    6·2 answers
  • Which point represents – 12 on the number line?
    13·2 answers
  • it takes jeremiah a total of 1 1/6 hours to ride his bike to and from work each day. if jeremah works 5 day a week for 4 weeks,
    6·1 answer
  • A bakery had 679 bags of sugar. A baker used 463 of these bags to make pies. How many bags does the bakery still have?
    6·2 answers
  • It is estimated that approximately 8.23% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!