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Maksim231197 [3]
3 years ago
15

X + 2y = 14 у= 3х - 14

Mathematics
2 answers:
klio [65]3 years ago
8 0

Answer:

x =6 and y=4

(6, 4)

Step-by-step explanation:

We can solve this equation by either using elimination method, substitution method or both method.

In this case we will use substitution method

x + 2y = 14  ------------------------(1)

у= 3х - 14 -------------------------(2)

substitute equation (2) into equation (1)

x + 2(3x-14) = 14

x + 6x -28 = 14

7x -28 =14

Add 28 to both-side of the equation

7x - 28 + 28 = 14 + 28

7x = 42

Divide both-side of the equation by 7 to get the value of x

7x/7 = 42/7

(on the right-hand side of the equation 7 at the numerator will cancel-out 7 at the denominator leaving us with just x while on the right-hand side of the equation 42 will be divided by 7)

x = 42/7

x =6

substitute x=6 into equation (2)

y = 3x -14

y = 3(6) - 14

y = 18 -14

y =4

Therefore x =6 and y =4

(6, 4)

VARVARA [1.3K]3 years ago
4 0

Answer:

y=28/5

x=14/5

Step-by-step explanation:

use substitution

x=14-2y

y=42-6y-14

0=42-5y-14

0=28-5y

y=28/5

x+56/5=14

x=14-56/5=14/5

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The problem does not specify whether it is a proportional variation or an inversely proportional variation, so both cases will be solved.

<u>case a) proportional variation</u>

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A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form

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y=12


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\mathrm{For\:}30x-9y=54\mathrm{\:plug\:in\:} \:y=4 \ \textgreater \  30x-9\cdot \:4=54
\mathrm{Multiply\:the\:numbers:}\:9\cdot \:4=36 \ \textgreater \  30x-36=54 \ \textgreater \
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