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polet [3.4K]
4 years ago
12

At silver Gym, membership is $45 per month, and personal training sessions are $25 each. At fit factor, membership is $75 per mo

nth, and personal training sessions are $15 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Mathematics
1 answer:
Vlada [557]4 years ago
6 0
3 training sessions
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Find the points of intersection of the lines 10x−4y=2 and 2x+8y=7 without graphing.
Jet001 [13]

Answer:

x=\frac{1}{2},y=\frac{3}{4}

Step-by-step explanation:

Given:

10x-4y=2 ,2x+8y=7

To find: points of intersection of the given lines

Solution:

In substitution method, the system of equations is solved by expressing one variable in terms of another, as a result, removing one variable from an equation.

10x-4y=2 \\2(5x-2y)=2\\5x-2y=1\\5x=1+2y\\x=\frac{1+2y}{5}

Put x=\frac{1+2y}{5} in the equation 2x+8y=7

2x+8y=7\\2[\frac{1+2y}{5}]+8y=7\\ 2+4y+40y=35\\44y=35-2\\44y=33\\y=\frac{33}{44}\\ =\frac{3}{4}

Put y=\frac{3}{4} in the equation x=\frac{1+2y}{5}

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Therefore,

x=\frac{1}{2},y=\frac{3}{4}

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