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jok3333 [9.3K]
3 years ago
14

Solve by elimination using subtraction. 2x + y = -5 2x - 5y = 13

Mathematics
2 answers:
spayn [35]3 years ago
5 0

Answer:

(- 1, - 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = - 5 → (1)

2x - 5y = 13 → (2)

Subtracting (1) from (2) term by term will eliminate the x-0 term

0 - 5y - y = 13 - (- 5) , that is

- 6y = 18 ( divide both sides by - 6 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting into (1)

2x - 3 = - 5 ( add 3 to both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

solution is (- 1, - 3 )

oee [108]3 years ago
4 0
Yes this is true he is right 3892018389392
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Please help me with this #7
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\text{Given that,}\\\\\text{First term,}~ a_1 =  -8~~~~...(i)\\\\\text{12th term,}~ a_{12} = -52~~~...(ii)\\\\\text{Common difference is d.}\\\\(ii)\div(i):\\\\\dfrac{a_{12}}{a_1} = \dfrac{-52}{-8}\\\\\\\implies \dfrac{a_1 + (12-1)d}{a_1} = \dfrac{52}8\\\\\\\implies \dfrac{-8+11d}{-8} = \dfrac{52}8\\ \\\\\implies -8+11d = \dfrac{52(-8)}8\\\\\\\implies -8+11d = -52\\\\\\\implies 11d = -44\\\\\\ \implies d = \dfrac{-44}{11} = -4

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2 years ago
A rectangle or exercise mat has a perimeter of 48 feet the length of the mat Is twice The lift right and solve any questions to
Misha Larkins [42]

Answer:

The equation to determine the length is 4w+2w=48.

The Length of the exercise mat is 16 feet.

Step-by-step explanation:

Given:

Perimeter of Rectangular mat = 48\ ft

Let the length of the mat be denoted by 'l'

And width be denoted by 'w'.

Also Given:

The length of the mat is twice the width of the mat.

So we can say that;

l=2w  ⇒ equation 1

Now we know that;

Perimeter of Rectangle is equal to twice the sum of length and width.

framing in equation form we get;

2(l+w)=48 ⇒ equation 2

Now Substituting equation 1 in equation 2 we get;

2(2w+w)=48

Applying Distributive property we get;

2\times2w+2\times w=48\\\\4w+2w=48

Hence, The equation to determine the length is 4w+2w=48.

On Solving the above equation we get;

4w+2w=48\\\\6w=48

Dividing both side by 6 we get;

\frac{6w}{6}=\frac{48}{6}\\\\w=8\ ft

Now Substituting the value of 'w' in equation 1 we get;

l=2w=2\times8=16\ ft

Hence The Length of the exercise mat is 16 feet.

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