For the following exercises, solve the system of linear equations using Cramer’s Rule.
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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. 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 Cramer’s rule to solve the linear systems of equations. 4x3y+5z=527x9y3z=32x5y5z=52arrow_forward
- For the following exercises, use a system of linear equations with two variables and two equations to solve. 68. A jeep and BMW enter a highway running east- west at the same exit heading in opposite directions. The jeep entered the highway 30 minutes before the BMW did, and traveled 7 mph slower than the BMW. After 2 hours from the time the BMW entered the highway, the cars were 306.5 miles apart. Find the speed of each car, assuming they were driven on cruise control.arrow_forwardFor the following exercises, use substitution to solve the system of equations. 10x+5y=5 3x2y=12arrow_forwardFor the following exercises, write the system of linear equations from the augmented matrix. Indicate whether there will be a unique solution. [10 3012000|750]arrow_forward
- For 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, solve the systems of linear and nonlinear equations using substitution or elimination. Indicate if no solution exists. 9. y2+x2=25 y22x2=1arrow_forwardFor the following exercises, solve the system of linear equations using Gaussian elimination. 3x4y=7-6x+8y=14arrow_forward
- For 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 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_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_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill