4 years ago

Elimination Method 7x=3y+45 4x+5y=19 (Show it step by step please!)

1 answer:

8 0

$\left\{\begin{array}{ccc}7x=3y+45&|\text{subtract 3y from both sides}\\4x+5y=19\end{array}\right\\\left\{\begin{array}{ccc}7x-3y=45&|\text{multiply both sides by 5}\\4x+5y=19&|\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}35x-15y=225\\12x+15y=57\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad47x=282\qquad\text{divide both sides by 47}\\.\qquad \boxed{x=6}\\\\\text{Put the value of x to the second equation}$

$4(6)+5y=19\\\\24+5y=19\qquad\text{subtract 24 from both sides}\\\\5y=-5\qquad\text{divide both sides by 5}\\\\\boxed{y=-1}\\\\Answer:\ \boxed{x=6\ and\ y=-1}$

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Step-by-step explanation:

An auditorium is in the shape of an equilateral triangle with side length as 112 ft.

The stage extends from one vertex of the triangle to the mid-segment and the seating area extends from the mid-segment to the rear wall.

*The situation is represented in the attachment.

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