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Zigmanuir [339]
3 years ago
12

Pls help, will mark brainliest if right

Mathematics
1 answer:
Tanya [424]3 years ago
6 0

Answer:

D

Step-by-step explanation:

I just did this lol

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Can someone help me please? Use the linear combination method to solve the system of equations. Pretty please show your work and
Pavel [41]

Answer:

  (x, y) = (4, -3)

Step-by-step explanation:

  • x-3y=13
  • 2x+4y=-4

First of all, look at the given equations. Here, we see that the second equation has coefficients that all have a factor of 2. If we divide that out, we get an equation that has an x-coefficient of 1, matching the x-coefficient in the first equation.

Here is the reduced second equation:

  x +2y = -2

Now, if we subtract one equation from the other, the variable x will be eliminated. We want to choose that subtraction wisely.

We note that the y-coefficient in the first equation is less than that in the second equation. If we subtract the first equation from the second, the result will have a positive y-coefficient:

  (x +2y) -(x -3y) = (-2) -(13)

  5y = -15 . . . . . . . . . . . . . . . . simplify. Note that the x-variable is eliminated, which is the purpose of this exercise.

  y = -3 . . . . . . . divide by 5

We can use this value in the reduced second equation to find the value of x:

  x +2(-3) = -2

  x = 4 . . . . . . . . . add 6 and simplify

The solution is (x, y) = (4, -3).

_____

I find a graphing calculator provides an easy and reliable check of the answer.

_____

<em>Comment on linear combination</em>

This method is often called "elimination," because the purpose of combining the equations in a particular way is to eliminate one of the variables. This requires you look at the coefficients of the variables and devise a plan to combine them so the resulting coefficient for one of the variables is zero.

In the worst case, you can combine ...

  • ax +by = c
  • dx +ey = f

by multiplying the second equation by <em>a</em> and the first by <em>-d</em>:

  a(dx +ey) -d(ax +by) = a( f) -d(c)

  y(ae -bd) = fa -cd . . . . . . simplify; x is eliminated

This sort of approach results in a formula for the solution known as Cramer's Rule.

  y = (fa-cd)/(ae-bd)

The corresponding solution for x is ...

  x = (ce-bf)/(ae-bd)

__

The point of looking at the equations first is that you can often choose which variable to eliminate and what multiplier to use to minimize the amount of arithmetic involved—as we did above.

5 0
3 years ago
Read 2 more answers
Help me with this plz
Dmitrij [34]

Answer:

the third one

Step-by-step explanation:

We can break it up into (-8*3)*(x*x^2). This means that it is -24*x^3, or -24x^3

7 0
3 years ago
For which of the following integrands will the table method for parts produce an antiderivative?
Sonja [21]

Answer:

x³ sin(x)

Step-by-step explanation:

Tabular method is a special form of integration by parts.  It works by taking derivatives of u and integrals of dv.  You multiply diagonally, then sum the results, alternating the signs.

The important thing to note is that this will produce an antiderivative only if the derivatives of u eventually become 0.  So the correct choice is x³ sin(x), because the derivatives of x³ eventually becomes 0:

d/dx (x³) = 3x²

d/dx (3x²) = 6x

d/dx (6x) = 6

d/dx (6) = 0

8 0
3 years ago
Simplify 3a^2+15a / a^3 - 25a<br> please help! rational expressions
goblinko [34]
Factor each expression:

\frac{3a(a+5)}{a(a-5)(a+5)}

Eliminate:

\frac{3}{a-5}
8 0
3 years ago
Read 2 more answers
Question 5 of 5
PIT_PIT [208]

Answer: 1/4 cups

Step-by-step explanation:

6 - 3 3/4 - 2

= 1/4

4 0
2 years ago
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