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3 years ago

What is the solution to this system of linear equations?

Mathematics

2 answers:

zysi [14]3 years ago

6 0

The answer is (-1,3)

This is how I got it:

I plugged in the x and y.

x=-1

y=3

so instead of y-4x=7, it is 3-4(-1)=7

2 negatives make a positive.

now I solve (3+4=7)

next equation is 2y+4x=2 do the same thing as in the first equation. and get 6+-4 and equals 2

so in this case, the answer is (-1,3)

Bogdan [553]3 years ago

5 0

Good morning Sonny

y-4x=7

2y+4x=2

We need to solve -4x+y=7 for y

Now let's start by adding 4x to both sides

-4x+y+4x=7+4x

y=4x+7

Now substitute 4x+7 for y in 4x+2y=2 so we can find the value for x

4x+2y=2

4x+2(4x+7)=2

12x+14=2

Add -14 to both sides

12x=14-14=2-14

12x=-12

Now divide 12 to both sides so we can find x

12x/12=-12/12

x=-1

Now we need to find the value for y by substitute -1 for x in y=4x+7

y=4x+7

y=(4)(-1)+7

y=3

Work done ;)

Answer : x=-1 and y=3

(-1,3)

I hope that's help :0

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lorasvet [3.4K]

Answer:

The experimental factor that is manipulated; the variable whose effect is being studied is called <u>independent variable.</u>

Step-by-step explanation:

Consider the provided information.

In an experiment, the two principal variables are the independent and dependent variable.

An independent variable is the variable that is altered or controlled to test the effects on the dependent variable in a scientific experiment.

The variable which is tested and measured in a scientific experiment is a dependent variable.

From the above definition: The experimental factor that changed or controlled in a scientific experiment is called independent variable.

Therefore, the complete statement is: The experimental factor that is manipulated; the variable whose effect is being studied is called <u>independent variable.</u>

8 0

3 years ago

What is the area of △ABC?

kirza4 [7]

Answer:
Area = 492.4 m²

Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)

This rule is illustrated in the attached image.

Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²

Hope this helps :)