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Sauron [17]
3 years ago
12

What is the first step to take when solving this linear system of equations by the addition-subtraction method? 2x + 4y = 3 x +

3y =13
Mathematics
1 answer:
atroni [7]3 years ago
7 0

Hey!

2x + 4y = 3x + 3y = 13

2x + 4y = 13 ------------ ( 1 )

3x + 3y = 13 -------------- ( 2 )

Now, we will need to eliminate one type of the term , let us eliminate the x terms

Let us multiply the first equation with 3 and the second equation with 2

3 ( 2x + 4y ) = 3 ( 13 )

2 ( 3x + 3y ) =  2 ( 13 )

................................................................................................................................................

6x + 12y = 39 ----------------- ( 1 )

6x + 6y =  26 ---------------------- ( 2 )

Now, let us subtract the second equation from the first equation

6x + 12y = 39

-6x - 6y = - 26

.........................................

6y = 13

y = 13 / 6

...........................................

Now substitute the value of ' y ' and we can get the value of ' x '

I will take 3x + 3y = 13

3x + ( 3 ) ( 13 / 6 ) = 13

3x + 13 / 2 = 13

3x = 13 - 13/2

LCM = 2

3x = 26 - 13 / 2

3x = 13 / 2

x = 13/2 / 3

x = 13/2 × 1/3

x = 13/6

Hope my answer helps!


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babunello [35]

The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2

Given that the softball diamond is square in shape.

Let the side of the square i.e. distance between consecutive bases is x

The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.  

Using the Pythagorean theorem we have:

x² +x²= c²,

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Combining similar terms gives us

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This is the expression for the distance from the 1st base to the 3rd base in terms of side length.

Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.

Learn more about the Pythagorean theorem

here: brainly.com/question/231802

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