Question

FIND THE VALUE OF X AND W my answer is incorrect
PLEASE HELP ME
geometry

Answer 1

Step (1)

`(6w - 7) + (3x + 8) = 142`

`6w + 3x - 7 + 8 = 142`

`6w + 3x + 1 = 142`

Subtract sides -1

`6w + 3x + 1 - 1 = 142 - 1`

`6w + 3x = 141`

Divided sides by 3

`(6)/(3)w + (3)/(3)x = (141)/(3) \\`

`2w + x = 47`

I call above equation (( Ω ))

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Step (2)

`180 - 142 = 38`

We have :

`(6w - 7) + 38 = (10w - 9)`

`6w - 7 + 38 = 10w - 9`

`6w + 31 = 10w - 9`

Subtract sides -6w

`6w - 6w + 31 = 10w - 6w - 9 \\`

`31 = 4w - 9`

Plus sides 9

`31 + 9 = 4w - 9 + 9`

`40 = 4w`

Divided sides by 4

`(40)/(4) = (4)/(4)w \\`

`w = 10`

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Do u remember (( Ω )) ?

Of course u do...

`2w + x = 47`

`2(10) + x = 47`

`20 + x = 47`

Subtract sides -20

`20 - 20 + x = 47 - 20`

`x = 47 - 20`

`x = 27`

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And we're done.....♥️♥️♥️♥️♥️