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3 years ago

Please help ! What’s the answer ?!!

Mathematics

2 answers:

tekilochka [14]3 years ago

4 0

Answer:

x= 70

Step-by-step explanation:

erastovalidia [21]3 years ago

4 0

Answer is first option, so x=70

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3 years ago

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swat32

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Nezavi [6.7K]

Given:

The system of equations is

$y=2x-5$

$2y-4x=?$

To find:

The missing value for which the given system of equations have infinitely many solutions.

Solution:

Let the missing value be k.

We have,

$y=2x-5$

$2y-4x=k$

Taking all the terms on the left side, the given equations can be rewritten as

$-2x+y+5=0$

$-4x+2y-k=0$

The system of equations $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$ have infinitely many solutions if

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$

We have,

$a_1=-2,b_1=1,c_1=5$

$a_2=-4,b_2=2,c_2=-k$

Now,

$\dfrac{-2}{-4}=\dfrac{1}{2}=\dfrac{5}{-k}$

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$\dfrac{1}{2}=\dfrac{5}{-k}$

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$-k=10$

$k=-10$

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3 years ago