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Reil [10]
3 years ago
14

Well this system produce infinitely many solutions -4x+6y=20, 4x-3y=-2

Mathematics
1 answer:
natulia [17]3 years ago
8 0

Answer:

y = 6

x = 4

Step-by-step explanation:

to evaluate this system of equation using substitution method, we would say that let

-4x+6y=20................................... equation 1

4x-3y=-2................................................................... equation 2

from equation 1

-4x+6y=20................................... equation 1

-4x = 20 -6y

divide both sides by -4

-4x/-4 = 20- 6y/-4

x = -( 20 - 6Y)/4............................................................ EQUATION 3

Substitute the value of x  into equation 2

4x-3y=-2................................................................... equation 2

4 ( 20 - 6y)/-4  - 3y = -2

- (20 - 6y) - 3y = -2

-20 + 6y -3y = -2

collect the like terms

6y -3y = -2 + 20

3y = 18

divide both sides by the coefficient of y

3y/3 = 18/3

y = 6

substitute the value of y = 6 into equation 3

x = -( 20 - 6Y)/4............................................................ EQUATION 3

x = 20 -6(6)/-4

x = 20 - 36/-4

x = -16/-4

x = 4

therefore the value of x and y is 4 and 6 respectively.

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Answer:

The answer should be 69°

Step-by-step explanation:

Each line is being cut by a transversal, that means that the degree on the other side of it, added with the given degree will add up to 180°

1. On the right, you need to find the interior angle where 160° is outside so you subtract 180° from 160° to find the angle inside. That gives you 20°

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Hopefully that clears it up for you :)

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