Write an equation for the graph.

Determine which numbers the equations can be multiplied by to create opposite terms of the x-variable. 1 2 x − 1 4 y = −3 − 1 3

Julli [10]

In the elimination method one variable is eliminated from the system of equation to find the value of other.

To create the opposite terms of the x-variable-

First equation be multiplied by the number 12.
Second equation be multiplied by the number 13.

<h3>What is elimination method?</h3>

To solve the system of equation and find the value of the variables, the elimination method is used.

In this method one variable is eliminated from the system of equation to find the value of other.

Given information-

The system of equation given in the problem is,

$12x-14y=-3$ ......1

Let the above equation as equation 1.

The second equation given in the problem is,

$-13x+23y=5$ ......2

Let the above equation as equation 2.

To eliminate the x term, make the coefficient of x of both the equation equal.

It can be done by multiply the coefficient of x term of first equation to second equation and coefficient of x term of second equation to first equation.

As the coefficient of x of the equation 1 is 12. Thus multiply second equation with 12. Thus,

$12\times(-13x+23y)=12\times5$

$-156x+276y=60$ ........3

Multiply equation 1 with -13 to make the coefficient of x opposite. Thus,

$13\times(12x-14y)=13\times(-3)\\156x-182y=-39$ .......4

Hence, to create the opposite terms of the x-variable-

First equation be multiplied by the number 12.
Second equation be multiplied by the number 13.

Learn more about the elimination method here;

brainly.com/question/7013345

7 0

2 years ago

Read 2 more answers

Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with

Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

$tan(72)=\frac{150}{x}$ and, solving for x,

$x=\frac{150}{tan(72)}$

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

7 0

4 years ago

Evaluate 81/4-615/32

Kaylis [27]

Answer:33/32

Step-by-step explanation:

81/4 - 615/32

32•4=128 to get a common denominator

Then whatever you do to the top you do to the bottom.

81•32=2,592

Then you would do

615•4=2,460

Now you have

2,592/128 - 2,460/128

Now you subtract

2,592-2460=132

You keep the denominator

132/128 and then simplify by dividing both numbers by four and you get

33/32

4 0

3 years ago

Which equation is not a polynomial.

babymother [125]

A. -sqrt(2)

Explanation:
there are no degrees, etc

7 0

3 years ago

Need help! if ABC=70 what is ADC

kari74 [83]

Answer

290 degrees

Step-by-step explanation:

A circle is always 360 degrees, m<ABC+m<ADC=360

substitute the angles and your equation should be 70+x=360

Bring 70 to the other side,

360-70= 290

x=290

*make sure to put the degrees symbol or it would you mark you incorrect.*

4 0

3 years ago