Solve 2x + 4y = -8 and 4x + 8y = 5 by elimination. Please show work on how to get the answer.

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

5 0

Answer:

No solution

Step-by-step explanation:

Given two equations are 2x+4y= -8 and 4x+8y= 5

These two lines are parallel They don't have a solution because they do not meet .

Multiply the first equation by 2 we get 4x+8y = -16

the other equation is 4x+8y= 5 clearly these two are parallel .

To prove by elimination method we have subtract those two equations we get 21≠0 which is not possible.

Therefore there is no solution to the given set of equation.

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Read 2 more answers

Convert 0.45 (5 is a repeating number) to a fraction

Jobisdone [24]

Let the given number be 'x',

$\begin{gathered} x=0.4\bar{5} \\ x=0.45555555\ldots\ldots \end{gathered}$

Multiply both sides by 10,

$\begin{gathered} 10x=4.\bar{5} \\ 10x=4.5555555\ldots\ldots \end{gathered}$

Subtract the equations,

$\begin{gathered} 10x-x=4.5555\ldots-0.45555\ldots \\ 9x=4.5+0.0\bar{5}-(0.4+0.0\bar{5}) \\ 9x=4.5+0.0\bar{5}-0.4-0.0\bar{5} \\ 9x=4.1 \\ 9x=\frac{41}{10} \\ x=\frac{41}{90} \end{gathered}$

Thus, the recurring decimal number is equivalent to the fraction,