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lorasvet [3.4K]
3 years ago
11

Even would be helpful if you just gave me the equation to solve it and I can do the rest. mart had a sale for labor day on DVD's

and video tapes. Katie bought 2 tapes and 3 DVD's and spent 134$. Emily bought 1 tape and 5 DVD's and spent 179$. How much does a tape and DVD cost .
Mathematics
1 answer:
erastova [34]3 years ago
6 0

x - price of a video tape

y - price of a DVD

\left\{\begin{array}{ccc}2x+3y=134\\x+5y=179&|\text{subtract 5y from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2x+3y=134\\x=179-5y&|\text{substitute to the first equation}\end{array}\right\\\\2(179-5y)+3y=134\qquad\text{use distributive property}\\\\(2)(179)+(2)(-5y)+3y=134\\\\358-10y+3y=134\qquad\text{subtract 358 from both sides}\\\\-7y=-224\qquad\text{divide both sides by (-7)}\\\\\boxed{y=32}\\\\\text{Put the value of y to the second equation}\\\\x=179-5(32)\\\\x=179-160\\\\\boxed{x=19}

<h3>Answer: video tape cost $19 and DVD cost $32.</h3>
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