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4 years ago

Whats the solution system? 2x + 5y = 14 x + 3y = 16

Mathematics

2 answers:

grin007 [14]4 years ago

4 0

Answer:

Step-by-step explanation:

hello :

2x + 5y = 14...(*)

x + 3y = 16....(**)

multiply (**) by -2 : -2x-6y=-32 ...(***)

add(*) and (***) : -y=-18 so y = 18

put this value in to (*) : 2x+5(18)=14

2x = -76

x = - 38

S_A_V [24]4 years ago

3 0

Answer:

Step-by-step explanation:

2x + 5y = 14 -------------(i)

x + 3y = 16 ----------------(ii)

To eliminate x, multiply the second equation by (-2)

(ii)*(-2) -2x - 6y = -32

(i) 2x + 5y = 14 { Now add & x is eliminated}

- y = - 18 {divide by (-1)}

y = 18

Plug in y =18 in Equation (i)

2x + 5*18 = 14

2x + 90 = 14

2x = 14 - 90

2x = -76

x = -76/2

x = -38

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Read 2 more answers

The width of a rectangle is only 15% of its length. If the perimeter of the rectangle is 46, what is the length

sveta [45]

Answer:

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Step-by-step explanation:

Let the length be x. According to the question,

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➝ Width = 15% of the length

➝ Width = 15/100x

➝ Width = 3/20x

We have the perimeter of the rectangle that is 46 units.

$\longrightarrow \sf {Perimeter_{(Rec.)} = 2(L + W) } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{20x + 3x}{20} \Bigg \rgroup } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{23x}{20} \Bigg \rgroup } \\$

$\longrightarrow \sf {\dfrac{46}{2}= \dfrac{23x}{20}} \\$

$\longrightarrow \sf {23= \dfrac{23x}{20}} \\$

$\longrightarrow \sf {23 \times 20 = 23x} \\$

$\longrightarrow \sf {460= 23x} \\$

$\longrightarrow \sf {\cancel{\dfrac{460}{23}} = x} \\$

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