Step (1)
[tex](6w - 7) + (3x + 8) = 142[/tex]
[tex]6w + 3x - 7 + 8 = 142[/tex]
[tex]6w + 3x + 1 = 142[/tex]
Subtract sides -1
[tex]6w + 3x + 1 - 1 = 142 - 1[/tex]
[tex]6w + 3x = 141[/tex]
Divided sides by 3
[tex] \frac{6}{3}w + \frac{3}{3}x = \frac{141}{3} \\ [/tex]
[tex]2w + x = 47[/tex]
I call above equation (( Ω ))
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Step (2)
[tex]180 - 142 = 38[/tex]
We have :
[tex](6w - 7) + 38 = (10w - 9)[/tex]
[tex]6w - 7 + 38 = 10w - 9[/tex]
[tex]6w + 31 = 10w - 9[/tex]
Subtract sides -6w
[tex]6w - 6w + 31 = 10w - 6w - 9 \\ [/tex]
[tex]31 = 4w - 9[/tex]
Plus sides 9
[tex]31 + 9 = 4w - 9 + 9[/tex]
[tex]40 = 4w[/tex]
Divided sides by 4
[tex] \frac{40}{4} = \frac{4}{4}w \\ [/tex]
[tex]w = 10[/tex]
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Do u remember (( Ω )) ?
Of course u do...
[tex]2w + x = 47[/tex]
[tex]2(10) + x = 47[/tex]
[tex]20 + x = 47[/tex]
Subtract sides -20
[tex]20 - 20 + x = 47 - 20[/tex]
[tex]x = 47 - 20[/tex]
[tex]x = 27[/tex]
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And we're done.....♥️♥️♥️♥️♥️
