How do you solve $- 15 (2 u + 6) = - 10 (3 u + 15)$ $-15( 2u + 6) = - 10( 3u + 15)$ ?

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Answer 1 · 2016-09-10T14:28:37

$IS THE QUESTION CORRECT?$ $color(magenta)("IS THE QUESTION CORRECT?")$

Given: $- 15 (2 u + 6) = - 10 (3 u + 15)$ $" "-15(2u+6)=-10(3u+15)$

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Multiply both sides by (-1)

$+ 15 (2 u + 6) = + 10 (3 u + 15)$ $+15(2u+6)=+10(3u+15)$

Factor out the value 2 from the left hand brackets

$(15 \times 2 (u + 3)) = 10 (3 u + 15)$ $(15xx2(u+3)) =10(3u+15)$

$\Rightarrow 30 (u + 3) = 10 (3 u + 15)$ $=>30(u+3)=10(3u+15)$

Factor out 3 from the right hand brackets

$\Rightarrow 30 (u + 3) = 30 (u + 5)$ $=>30(u+3)=30(u+5)$

Divide both sides by 30

$\Rightarrow u + 3 = u + 5 This is a contradiction !$ $=> u+3=u+5 color(red)(" This is a contradiction !")$

$IS THE QUESTION CORRECT?$ $color(magenta)("IS THE QUESTION CORRECT?")$

How do you solve −15(2u+6)=−10(3u+15)-15( 2u + 6) = - 10( 3u + 15)?