Solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6

Mathematics

1 answer:

jek_recluse [69]2 years ago

6 0

Answer:

y = 3

x = 2

Step-by-step explanation:

-5x + 4y = 2

9x - 4y = 6

Sum both eq.

-5x + 9x = 4x

+4y - 4y = 0

2 + 6 = 8

then:

4x + 0 = 8

4x = 8

x = 8/4

x = 2

from the first eq.

-5x + 4y = 2

-5*2 + 4y = 2

-10 + 4y = 2

4y = 2 + 10

4y = 12

y = 12/4

y = 3

Check:

from the second eq.

9x - 4y = 6

9*2 - 4*3 = 6

18 - 12 = 6

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Which of the following is written as a rational function?

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We have to identify the rational function among the given functions.

Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.

1. Consider the first function $G(x)= -2x$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

2. Consider the second function $P(x)= 3x+4$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

3. Consider the third function $Q(x)= x^2-8x+1$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

4. Consider the fourth function $F(x)= \frac{x+2}{5x}$ , since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.