For the following exercises, solve the system of nonlinear equations using substitution.
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- For the following exercises, use a system of linear equations with two variables and two equations to solve. 77. Admission into an amusement park for 4 children and 2 adults is $116.90. For 6 children and 3 adults, the admission is $175.35. Assuming a different price for children and adults, what is the price of the child's ticket and the price of the adult ticket?arrow_forwardFor the following exercises, use a system of linear equations with two variables and two equations to solve. 73. If an investor invests $23,000 into two bonds, one that pays 4% in simple interest, and the other paying 2% simple interest, and the investor earns $710.00 annual interest, how much was invested in each account?arrow_forwardFor the following exercises, use any method to solve the system of nonlinear equations. 23. 2x3x2=yx2+y=0arrow_forward
- For the following exercises, solve the system of nonlinear equations. y=x27y=5x13arrow_forwardFor the following exercises, solve the system of nonlinear equations using substitution. y=xx2+y2=9arrow_forwardFor the following exercises, use a system of linear equations with two variables and two equations to solve. 69. If a scientist mixed 10% saline solution with 60% saline solution to get 25 gallons of 40% saline solution, how many gallons of 10% and 60% solutions were mixed?arrow_forward
- For the following exercises, use a system of linear equations with two variables and two equations to solve. 74. CDs cost $5.96 more than DVDs at All Bets Are Off Electronics. How much would 6 CDs and 2 DVDs cost if 5 CDs and 2 DVDs cost $127.73?arrow_forwardFor the following exercises, use a system of linear equations with two variables and two equations to solve. 72. If an investor invests a total of $25,000 into two bonds, one that pays 3% simple interest, and the other that pays 278 interest, and the investor earns $737.50 annual interest, how much was invested in each account?arrow_forwardFor the following exercises, use a system of linear equations with two variables and two equations to solve. 75. A store clerk sold 60 pairs of sneakers. The high-tops sold for $98.99 and the low-tops sold for $129.99. If the receipts for the two types of sales totaled $6,404.40, how many of each type of sneaker were sold?arrow_forward
- For the following exercises, use a system of linear equations with two variables and two equations to solve. 63. The startup cost for a restaurant is $120,000, and each meal costs $10 for the restaurant to make. If each meal is then sold for $15, after how many meals does the restaurant break even?arrow_forwardFor the following exercises, use a system of linear equations with two variables and two equations to solve. 76. A concert manager counted 350 ticket receipts the day after a concert. The price for a student ticket was $12.50, and the price for an adult ticket was $16.00. The register confirms that $5,075 was taken in. How many student tickets and adult tickets were sold?arrow_forwardFor the following exercises, graph the system of equations and state whether the system is consistent, inconsistent, or dependent and whether the system has on solution, no solution, or infinite solutions. 3x5y=7x2y=3arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
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