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2 years ago

Which of these strategies would eliminate a variable in the system of equations?

Mathematics

1 answer:

mariarad [96]2 years ago

4 0

Answer:

Multiply the bottom equation by -3/2 then add the equations.

Multiply the top equation by-3. then add the equations

Step-by-step explanation:

Given the simultaneous equation

2x- 6y=6 ... 1

6x - 4y = 2 ... 2

To eliminate a variable, we have to make the coefficient of one of the variable to be the same.

Multiply equastion 1 by -3

-6x+18y= -18

6x - 4y = 2

Add the result:

-6x + 6x + 18y-4y = -18+2

18y-4y = -18+2

14y = -18

y = -9/7

Another way is to Multiply the bottom equation by -3/2 then add the equations.

Multiplying equation 2 by -3/2 will give;

6x(-3/2) - 4y(-3/2) = 2(-3/2)

-9x + 6y = -3

Add to equation 1;

2x- 6y=6

-9x + 2x + 0 = -3+6

-7x = 3

x = -3/7

Hence the correct two options are;

Multiply the bottom equation by -3/2 then add the equations.

Multiply the top equation by-3. then add the equations

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The equation of line l is -3y + 4x = 9 . Write the equation of a line that is parallel to line l and passes through the point (-

Elan Coil [88]

Answer: y = 3x/4 + 22

Step-by-step explanation:

The equation of line l is -3y + 4x = 9

-3y + 4x = 9

3y = 4x -9

y = (4x -9)/3= 4x/3 - 3

From the slope-intercept equation,

y = mx +c

Where m= slope

Comparing both equations, we have

m = 4/3

If the new line that parallel to line l, that means they have the same slope

So, slope if new line is 3/4.

Points =(-12, 6)

From y = mx + c

x = -12,y = 6

6= 4/3 × -12 + c

6 = -16 + c

c = 6 + 16 = 22

Therefore

The equation of the line that is parallel to line l and passes through the point (-12,6) ,

y = 3x/4 + 22

7 0

3 years ago

The sum of two polynomials is -yz to the second power-3z to the second power-4y+4. If one of the polynomials is y-4yz to the sec

balu736 [363]

Answer:

- 5yz^2 - 3z^2 - 5y + 7

Step-by-step explanation:

The polynomial is:

$-yz^2-3z^2-4y+4$ ( 1 )

this polynomial is the result of the sum of two polynomials, one of them given by

$y-4yz^2-3$ ( 2 )

if you find to know what is the other polynomial, you can take the difference between the polynomial (1) and (2). It is necessary to take the difference between simmilar terms, as follow:

- yz^2 - 3z^2 - 4y + 4

- (4yz^2 + y - 3 )

- yz^2 - 3z^2 - 4y + 4

- 4yz^2 - y + 3

- 5yz^2 - 3z^2 - 5y + 7

hence the other polynomial is - 5yz^2 - 3z^2 - 5y + 7

5 0

3 years ago

Write the ratio for sin A and cos A. The triangle is not drawn to scale.

Zolol [24]

Option A:

$$ \sin A= \frac{14}{50}, \ \cos A= \frac{48}{50}$

Solution:

Given data:

AB = 50, BC = 48, AC = 14

To find the value of sin A and cos A:

$$\sin A= \frac{Opposite \ side}{Hypotenuse}$

$$\sin A= \frac{AC}{AB}$

$$\sin A= \frac{14}{50}$

$$\cos A= \frac{Adjacent \ side}{Hypotenuse}$

$$\cos A= \frac{BC}{AB}$

$$\cos A= \frac{48}{50}$

$$\therefore \ \sin A= \frac{14}{50}, \ \cos A= \frac{48}{50}$

Hence option A is the correct answer.

7 0

3 years ago

If y varies directly as x and y=288 when x=16 determine the value of y when x-13

Ray Of Light [21]

Y = kx is the direct variation equation
Substitute the x and y that are given to find k then write your new equation in terms of y with the k.

288 = k(16) divide by 16 to find k
18 = k
Now write the new equation
y = 18x

y = 18(13) or y = 18(-13) I'm not sure by what you have typed if that is supposed to be and equal sign or a negative.
y = 234 OR y = -234

5 0

3 years ago

Answer with at least 3-4 sentences. No fake answers lots of points

Rus_ich [418]

Answer:

Step-by-step explanation:

Calculation of the discriminant of the polynomial : x⋅2−4⋅x+5

1. Applying the formula to calculate the discriminant Δ=b2−4⋅a⋅c with : a=0, b=−2,c=5

2. Δ=(−2)2−4⋅(0)⋅(5)=4=4

3. The discriminant of the polynomial x⋅2−4⋅x+5 is equal to 4

5 0

3 years ago