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
lozanna [386]
3 years ago
10

Use Cramer's rule to solve the following system of equations.

Mathematics
1 answer:
sp2606 [1]3 years ago
4 0
5x + 3y = 7> (4) 5x + (4) 3y = (4) 7 4x + 5y = 3> (-5) 4x + (-5) 5y = (-5) 3 20y + 12y = 28 -20x -25y = -15 (X's cross out) 12y - 25y = 28 -15 -13y = 13 Y = -1 (Plug in for y) 5x + 3(-1) = 7 5x -3 =7 (add 3 to 7) 5x = 10 (divide by 5) X= 2 Ordered Pair= (2, -1)
You might be interested in
Which sign makes this number sentence true?
Karolina [17]

Answer:

its D

Step-by-step explanation:

8 0
3 years ago
Help me please and thank you! <3
Rasek [7]
the third choice, (3x4) + (3x5) = 27
8 0
3 years ago
Read 2 more answers
Me up rich goes to the skate park and tents a skateboard for 4.00 per hour they make him rent a helmet for one time 6.00 fee if
nirvana33 [79]

Let, x be the maximum hours he can rent skate board and helmet.

So, total price :

T = 4x + 6x

Now, it is given that he has only $30.

Therefore,

Total price should be less than or equal to $30.

4x + 6x ≤ 30

10x ≤ 30

x ≤ 3

Therefore, the maximum number of hours he can rent the skateboard is 3 hours.

Hence, this is the required solution.

5 0
3 years ago
Trevor solved the system of equations below. What mistake did he make in his work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 − 2
Arturiano [62]
2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
\boxed{5x=0} \Leftarrow \hbox{the mistake, it should be 5x=20} \\
x=0 \\ \\
2(0)+y=5 \\
y=5

If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
x+4x=5x, so he combined like terms correctly.
If 5x-10=10, then 5x=10+10 -> 5x=20, so he subtracted 10 from the right side instead of adding 10 to the right side.

The answer is C.

Here's the correct solution:
2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
5x=10+10 \\
5x=20 \\
x=\frac{20}{5} \\
x=4 \\ \\
y=5-2x \\
y=5 - 2 \times 4 \\
y=5-8 \\
y=-3 \\ \\
(x,y)=(4,-3)
5 0
3 years ago
Use the fact that the world population was 2,560 million in 1950 and 3,040 million in 1960 to model the population of the world
Serga [27]

Answer:

The relative growth rate is 18.75%.

Step-by-step explanation:

If the world population was 2.560 million in 1950 and 3.040 million in 1960, it means that there was a growth of 480 million people in 10 years. Thus, it is a growth of 18.75%, according to the following calculation:

2,560 = 100

480 = X

(480 x 100) / 2,560 = X

48,000 / 2,560 = X

18.75 = X

Therefore, if this growth rate were to be maintained, in subsequent years the world population would evolve as follows:

1970: 3,040 x 1.1875 = 3,610 million inhabitants

1980: 3,610 x 1.1875 = 4,286 million inhabitants

1990: 4,286.8 x 1.1875 = 5,090 million inhabitants

8 0
3 years ago
Other questions:
  • Solve the inequality.<br> 5w + 8 &gt; 14
    11·1 answer
  • Mary invested $300 at a rate of 1.55% compounded continuously 12 years ago. How much worth it when he cashed it in?
    14·1 answer
  • 6th grade math please help ! c;
    14·2 answers
  • Solve the equation. –3x + 1 + 10x = x + 4
    15·1 answer
  • I’ll mark brainliest if someone helps :) <br> Please and THANK YOU :))))
    7·1 answer
  • Suppose that the dollar value v(t) of a certain car that is t years old is given by the following exponential function.
    14·1 answer
  • I need someone to explain this step by step. I have a test very soon.
    6·1 answer
  • Which is greater V227 or 15?
    7·1 answer
  • Which numbers are in order from least to greatest
    12·1 answer
  • 1. Government laws require that new showerhead flow rates be no more than 2.5 gallons per minute. If you take one 10-minute show
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!