-5x + 4y = -14 x - 3y = 16

Mathematics

1 answer:

MAXImum [283]2 years ago

5 0

Answer:

Step-by-step explanation:

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3/4 W + 8 = 1/3 w – 7

Montano1993 [528]

Answer:

Step-by-step explanation:

$\dfrac{3}{4}W+8=\dfrac{1}{3}W-7\qquad\text{subtract 8 from both sides}\\\\\dfrac{3}{4}W+8-8=\dfrac{1}{3}W-7-8\\\\\dfrac{3}{4}W=\dfrac{1}{3}W-15\qquad\text{multiply both sides by}\ LCM(4,\ 3)=12\\\\12\!\!\!\!\!\diagup^3\cdot\dfrac{3}{4\!\!\!\!\diagup_1}W=12\!\!\!\!\!\diagup^4\cdot\dfrac{1}{3\!\!\!\!\diagup_1}W-(12)(15)\\\\(3)(3W)=(4)(1W)-180\\\\9W=4W-180\qquad\text{subtract}\ 4W\ \text{from both sides}\\\\9W-4W=4W-4W-180\\\\5W=-180\qquad\text{divide both sides by 5}\\\\\dfrac{5W}{5}=\dfrac{-180}{5}\\\\W=-36$