2 years ago

What is the value of x in the diagram below?

Mathematics

1 answer:

Afina-wow [57]2 years ago

7 0

Find the attachment below
brainliest pls

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HELLO PLEASE GIVE ME THE RIGHT ANSWER ASAP THANK YOU !

seropon [69]

$\large\underline{\sf{Solution-}}$

$\textsf{Given expression;}\\$

$\rm{23 = \frac{7}{9}(6x - 36) + 9 } \\$

$\rm{\longmapsto} \: 23 = \frac{(42x - 256)}{9} + 9 \\$

$\rm{\longmapsto} \: 23 = \frac{(42x - 256 + 81)}{9} \\$

$\rm{\longmapsto} \: 23 = \frac{(42x - 175)}{9} \\$

$\rm{\longmapsto} \: \frac{23}{1} = \frac{(42x - 175)}{9} \\$

$\textsf{By doing cross multiplication, we get}\\$

$\rm{\longmapsto}23(9) = 1(42x - 175) \\$

$\rm{\longmapsto}207 =42x - 175\\$

$\rm{\longmapsto} \: 42x = - 175 - 207 \\$

$\rm{\longmapsto} \: 42x = - 379 \\$

$\rm \therefore \: x = - \frac{375}{42} \\$

$\textsf{Hence, the value of x will be -375/42 respectively.}\\$

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