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kkurt [141]
3 years ago
9

Johanna wrote the system of equations. 4 x - 3 y = 1, 5 x + 4 y = 9. If the second equation is multiplied by 4, what should the

first equation be multiplied by to eliminate the x-variable by addition?
Mathematics
2 answers:
Andru [333]3 years ago
7 0

Answer:

To eliminate x

We multiply Equation 1 by -5

The results are

X = 1

Y= 1

Step-by-step explanation:

4 x - 3 y = 1. .............Equation 1

5 x + 4 y = 9........... Equation 2

If equation 2 is multiplied by 4

4*(5x + 4y = 9)

20x + 16y = 36...... Equation 3

To eliminate x

We multiply Equation 1 by -5

-5*(4 x - 3 y = 1. )

-20x +15y = -5 ..... Equation 4

So we add Equation 3 and Equation 4

31y = 31

Y = 1

Substitute y into Equation 1

4x = 4

X = 1

polet [3.4K]3 years ago
4 0

Answer:

The first equation must be multiplied by -5 to eliminate x variable by addition

Step-by-step explanation:

4 x - 3 y = 1 (1)

5 x + 4 y = 9 (2)

If the second equation is multiplied by 4

5x+4y=9. ×4

We have,

20x+16y=36 (3)

The first equation should be multiplied by -5 to eliminate x variable by addition

4x-3y=1 × -5

We have

-20x+15y=-5 (4)

Add equation (3) and (4) to eliminate x variable

20x+16y=36

-20x+15y=-5

31y=31

Divide both sides by 31

y=1

Substitute y=1 into equation (1)

4 x - 3 y = 1

4x-3(1)=1

4x-3=1

4x=1+3

4x=4

Divide both sides by 4

x=1

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Is 301 in the sequence below?<br> -9, -5,-1,3,7,...
dusya [7]

Answer:

no

Step-by-step explanation:

Establish the nth term formula

There is a common difference d between consecutive terms, that is

d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 4 , then

a_{n} = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13

Equate 4n - 13 to 301

4n - 13 = 301 ( add 13 to both sides )

4n = 314 ( divide both sides by 4 )

n = 78.5

Since n is not an integer then 301 is not in the sequence

3 0
2 years ago
Find the indicated side of the<br> right triangle<br> 60°<br> 7<br> 30°<br> х<br> X=<br> = [?] )
RSB [31]

Answer:

2《6

Step-by-step explanation:

7Tan60°= 12

X= 12 cm

In Surds form= 2《6

I can't find the root sign on my keyboard hence I have replaced it with the arrows before 6

hope I was helpful

7 0
2 years ago
Read 2 more answers
Which inequality is represented by the graph?
blsea [12.9K]

Answer:

B: 4/5x -2y ≥ 3

Step-by-step explanation:

The first thing I always look for is the y-intercept which in this case is around -1.5 (-1\frac{1}{2}). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around \frac{2}{5}. So now, your equation is y = \frac{2}{5}x -1 \frac{1}{2\\}. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ \frac{2}{5}x -1 \frac{1}{2\\}.

Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤  \frac{4}{5}x -3. The last step is to rearrange the inequality so that it matches the answers on the question.

3 ≤  \frac{4}{5}x - 2y

\frac{4}{5}x - 2y ≥ 3

7 0
3 years ago
What is...<br> 2 = -1/5c
amid [387]
C=65

If its wrong I’m really sorry:(
5 0
2 years ago
Watch help video
finlep [7]

3√5

The distance between two points on an XY plane is calculated using the distance formula, which is employed in coordinate geometry or Euclidean geometry. The x-coordinate, often known as the abscissa, is a point's separation from the y-axis. The y-coordinate, often known as the ordinate, refers to a point's separation from the x-axis. A point on the x-axis has coordinates of the form (x, 0), and a point on the y-axis has coordinates of the form (0, y). We utilize the Pythagoras theorem in this case to determine the separation between any two points in a plane.

Distance formula = √ ( x₁ - x₂)² + ( y₁ - y₂)²

                                = √ 6² + 3²

                                =3√5

To learn more about distance formula, refer to brainly.com/question/7243416

#SPJ9

7 0
1 year ago
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